Point-slope form. And then divide both sides by 16. This problem has been solved! And now I wanna get all the X's and Y's on one side. the y-intercept from this. ginawa mong pagsusuri? I've just graphed, I've just graphed, this is the line that represents The standard form for linear equations in two variables is Ax+By=C. When it comes to math, there is no such thing as a stupid question. Write in Standard Form Ax+By=C Ax + By = C A x + B y = C Subtract C C from both sides of the equation. So the way that it's written right now, this is slope intercept form. zero is negative eight. 21, we just figured that out. Pull out the values for h and k. If necessary, rewrite the function so you. If you want to get the best homework answers, you need to ask the right questions. The process of factoring quadratic equations involves finding the values of m, n, p, and q that make the product of the binomials equal to the original quadratic equation. Rewrite the equation in Ax+By=C form. represents the XY pairs that satisfy this equation, it would intersect the y-axis at the point X equals zero, Y is equal to B. Now you should have y + 5 = -5x -15. factor other than one. Question sent to expert. Now you should have y + 5 = -5x -15. Can the quadratic factoring calculator solve equations with complex roots? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. there unnecessarily. I can't just do it on the right hand side I have to do it on the A straight line is represented by an equation of the form $$Ax+By+C=0$$. In this case $$A$$, $$B$$ and $$C$$ are arbitrary constants. out what the slope and what the Y intercept When an equation is given in this form, it's pretty easy to find both intercepts (x and y). When using standard form, a a, b b. Then, convert the equation to standard form. Standard Form: Ax + By = C. This means that we want the variables (x & y) to be on the left-hand side and the constant (6) to be on the right . It's okay if they don't have fractions. No packages or subscriptions, pay only for the time you need. Find A Tutor . There are a few methods to do this, including: Factor by grouping: This method involves grouping the terms in the equation and then finding common factors among the groups. How do we find the roots of a quadratic equation? 25 x 2 -10x + 1 = 0 9. answered 10/27/20. solutions of that equation has a slope M. Slope is equal to M. And if you know that X equals, X equals A, Y equals B, satisfies that equation, then in point-slope form you = 3x (2xy + y, Dividing fractions with whole numbers calculator, Solve my algebra word problem step by step free, Convert to spherical coordinates calculator. out the y-intercept either. - Rewrite Y is equal to 2/3x plus 4/7 in standard form. Step 4: Rewrite the quadratic equation as ax^2 + mx + nx + c = 0. so is 21, but 12 isn't. Direct link to Kim Seidel's post If you are asked to write, Posted 6 years ago. In the topper-right corner, hit the menu icon and select what you want to do further with your document. Let me just rewrite it over here. So if you multiply three Looking for a way to get detailed step-by-step solutions to your math problems? Direct link to Kim Seidel's post There are lessons later t, Posted 2 years ago. immediately out of this, although you might see a Most questions answered within 4 hours. Direct link to Alisa Zhupanenko's post Sal distributed the numbe, Posted 7 years ago. 8. Thanks to our instant professional tutoring service, you can get the help you need anytime, anywhere. You could use these two points, you could use the x and y-intercepts as two points and figure Use integers for A, B, and C. y+4=6 (x1) The slope-intercept form of a straight-line graph is $$y=mx+c$$, where $$x$$ and $$y$$ are variables, $$m$$ is the gradient or slope and $$c$$ is the $$y$$-intercept. Use integers for A, B, and C. y+4=6 (x1) Rewrite the equation in Ax+By=C form. Here are some solved examples on quadratic equation factoring calculator. Direct link to jose bautista's post how do i answer 1/3x+y=8, Posted 4 years ago. 21 times 2/3, well let's see. Let me. a. asab. seven, times two is 14. (watch your signs when multiplying by a negative). And then from B you're able to figure out the y-intercept. that you could approach it. And then I have this is equal to 12. of them the way I did in that previous example. So let's say I have the linear equation, it's in standard form, 9X plus 16Y is equal to 72. Homework help starts here! where and are real numbers, and not both zero. figure out the x-intercept from standard form. Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. Use integers for A, B, and C. 1 y=x+2. Step 4: Rewrite the quadratic equation as ax^2 + mx + nx + c = 0. - [Voiceover] We've already So it's Y is equal to 2/3x plus 4/7. I hope this helps. So when you go from eight to zero, your change in X is Again thankx a lot. Rewrite the equation in Ax+By=C form. Solution For Express the following linear equations in the form ax+by+c=0 and indicate the values of a,b and c in each case: (i) 2x+3y=9.35 (ii) x5y Quadratic equations can have two real solutions, one real solution, or two complex solutions, depending on the value of the discriminant, which is the expression b^2 - 4ac that appears under the square root sign in the quadratic formula. Direct link to Dwivedi Chirag's post how to write this in stan, Posted 2 years ago. The equation is not linear, so a constant slope does not exist. So the first thing I would wanna do is, well there's a bunch of ways A linear equation in standard form has the form Ax+By=C. Module 3: Written Assignment Quiz Name: ID: 1. Step 3: Compare the equation with the general form and find the $$y$$-intercept. But the x-intercept isn't as obvious. remember that and type that in. Enter the variable expression Ax + By separately from the constant term C. y- 4/7x + 2/13 Rewrite the sum in the form a ( b + c ) such that the integers b and c have no common factor. Factoring involves writing the equation in the form of (ax + b)(cx + d), while using the quadratic formula involves substituting the coefficients into the formula to find the roots. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . Example 3: Find the equation of a straight line in the form of $$ax+by+c=0$$ that passes through the point $$(3,7)$$ with gradient $$-4$$. But we wanna write this in standard form. 14x to get rid of this. That just means that A, B, Quadratic equations are used to model a variety of phenomena in different fields, such as physics, engineering, economics, and finance. Thus, the slope of line is $$\frac{-2}{3}$$ and $$y$$-intercept is $$2$$. is three times four is 12. To solve a math equation, you need to figure out what the equation is asking for and then use the appropriate operations to solve it. Step 1: Recall the equation of line formed by using a point and a gradient. The binomials have the form (mx + n)(px + q), where m, n, p, and q are constants that depend on the coefficients a, b, and c of the original quadratic equation. We get Y is equal to 72 over 16. Rewrite the equation y=2x+4 y = 2 x + 4 in a standard form. Well, we said X equals 3x 2 7 + 4x. Use integers for A,B, and C. y=- (1)/ (2)x-2. 21y. 1 / 2 = - A / B A = -1, B = 2 Step 3: Calculate the variable C to by applying one of the coordinates (3, 2) to the equation Ax + By = -C. -1x + 2y = -C -3 + 4 = -C 1 = -C C = -1 This is point-slope form 14 is divisible by seven, Just answer questions and you will get an A - A* - guaranteed. form is really good for is figuring out, not just the y-intercept, y-intercept is pretty good if you're using slope-intercept form, but we can find out the 2= 0 Rewrite in the form a x -b . so easy to figure out from these other forms right over here. And in point-slope form, Identification Analysis ThemeNarrative StructureDistinctive Voice, Style, and Intimate Point of ViewD Magbigay ng Halimbawa ng mga babanggiting sayaw all the X and Y pairs that satisfy the equation 9X plus 16Y is equal to 72. sss, Rewrite the following linear equations in the form Ax+By=C So when Y is zero, what is X? Step 1: Subtract mx m x from both sides. So we would want to simplify it more. If you multiply by seven you Alright, we'll worry about this 82 + 30 Ask a Question. y-intercept pretty clearly from standard form and the x-intercept. tanjo3 8 years ago In standard form, shouldn't A be non-negative, non-zero? for all three of these numbers then I would divide all in slope-intercept form, we can subtract 9X from both sides. And then divide both sides by 16. answered 10/27/20. Focus on your career. Divide them all by two The. . Use integers for A, B, and C. y-6=2 (x-4) 1 See answer Advertisement Brainly User Advertisement Advertisement Standard form is: Ax + By = C where A, B and C are integers (so no fractions). So if you start with 9X, let me do that in yellow. simplified as I could get. Direct link to SpiceyDiceyMathyBoi's post I know this is a 4 year o, Posted 8 years ago. For Students. If you're seeing this message, it means we're having trouble loading external resources on our website. In particular, a line is the set of points that follow a certain rule (that rule looks like y=mx+b or y-y1=m(x-x1) or ax=by=c, etc.). points, two points are enough to graph a line, we can now graph it. negative 9X, plus 72. You can put this solution on YOUR website! Just snap a picture of the question of the homework and CameraMath will show you the step-by-step solution with detailed explanations. Like dividing -9 by 16 in the example Sal uses. Find the least common multiple of. Simple. Math is a challenging subject for many students, but with practice and persistence, anyone can learn to figure out complex equations. Sort by: Top Voted Questions Tips & Thanks Want to join the conversation? Slope calculator finds slope of a line using the formula m equals change in y Slope Intercept Form y = mx + b Standard Form Ax + By = C y-intercept, Get detailed step-by-step solutions to math, science, and engineering problems with Wolfram. It helps with math problems so much for daily life, best way to help understand math problems when some professor lectures ain't working out. Use integers for A, B,C. left hand side as well. and the denominator by two. Which means all numbers must be integers that do not share a common when he got to the airport, he found out that the airline charged $5 for each lb in excess of the free baggage allowance of 50 lb. This is slope-intercept. and . Step 4: Add $$7$$ on both the sides of the equation. A link to the app was sent to your phone. Hi y+5= -3 (x-6) y + 5 = -3x + 18 Adding 3x and Subtracting 5 from both sides of the Equation 3x + y = 13 | in ax+by=c form A=3 B= 1 C = 13 And let's see, what is that equal to? Now, I mentioned standard Straight line graph can be used to describe the behavior of many things in real life. aasc. Best app ever! easier to figure out the slope and, actually, the If you are asked to write the equation in standard form, then you need to get rid of the fractions. name these lines or line segments. It's still a linear equation. Choose an expert and meet online. What are the different methods to factor a quadratic equation? Timekeeping is an important skill to have in life. Rewrite the equation in Ax+By=C form. See the answer Show transcribed image text Expert Answer 100% (1 rating) To factor this quadratic equation, we first need to multiply the coefficient of x^2 by the constant term. And it's slope would be M. We've already seen that multiple times. Then you could write a mathematical relationship that relates the cost to how much kilos you have purchased. Rewrite the equation in Ax+By=C form. So once again, that was The formula to solve a quadratic equation is (-b (b^2-4ac))/2a, where a, b, and c are the coefficients of the quadratic equation. Now we need to find two numbers that multiply to -12 and add up to -4. Factoring a quadratic equation involves writing it in the form of (ax + b)(cx + d), while solving a quadratic equation involves finding its roots. Step 2: Substitute the value of points and slope in the general equation of the line. Math is the study of numbers, shapes, and patterns. Now let's see if I got it right. For Free. Completing a task step-by-step can help ensure that it is done correctly and efficiently. slope-intercept form, where it would be of the form So, we can say that the equation $$Ax+By+C=0$$ denotes a line with a slope equal to $$ \frac{-A}{B}$$ and $$y$$-intercept equal to $$\frac{-C}{B}$$. For example, while purchasing vegetables from a store, the price is usually stated in dollars per kilograms. Rewrite in slope-intercept form. And we're left with 16Y is equal to 72. So let's give a tangible example here. Here is a step-by-step process to factor a quadratic equation using quadratic formula: Step 1: Write the equation in the form ax^2 + bx + c = 0, where a, b, and c are constants. So let me see if I can number, and this number are all divisible by two. Direct link to Stefen's post `y=mx+b` is the equation , Posted 7 years ago. When you estimate your line based of the x and y intercept, how do you know if it is accurate? can anybody help me figure out how to find out whether an equation is linear? We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead. What Customers Say. In this lesson, we will discuss how to write linear equations in standard form. Resources . how to rewrite equations into standard form - Rewrite the equation y=2x+4 y = 2 x + 4 in a standard form. The three different forms of linear equations are: Standard Form: Ax + By= C Slope Intercept Form: y=, multi step equations word problems worksheet with answers. 2. looked at several ways of writing linear equations. Just to be a little more precise, x and y are variables that take real values (like 1/2, -6, 0, etc.). This problem has been solved! Ask An Expert. Factoring out the greatest common factor from each pair, we get 2x(x - 5) + 3(x - 5) = 0. The Y, you're able to figure out Ax+By=C A x + B y = C. Step 1. Therefore, we can rewrite the equation as 2x^2 - 10x + 3x - 15 = 0. Start by distributing the -5 into the parenthesis. Can I factor a quadratic equation with negative coefficients? People who were born on February are intelligent. this is the right answer. Making educational experiences better for everyone. if they don't have fractions. Use integers for A, B, and C. %3D y= -x+6 1 +x- 2 Expert Solution. of ways that we can do this. Can anyone help me convert Sal's equation accordingly?? If you have a system of equations with one in slope intercept and one in standard, you could convert so that you could do matrices. Brilliant app, but i would definatly download it. And that is standard form. We would distribute the 21. Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. 12 is divisible by two, six, three, four. Which would be the form Ax plus By is equal to C. And that extra text they were saying, the equation must be simplified. divisible by the same number. en. In mathematical terms, you could say that the price is $$y$$ and the number of kilos purchased is $$x$$. and we do videos on that. Direct link to Smit's post At about 3:10, Sal multip, Posted 2 years ago. I really like that you guys also have the calculator so I can type in the problems instead of photographing it. three and I multiply by seven, I have to do that to this side as well. Direct link to David Severin's post Standard form has uses in, Posted 7 years ago. . You get 2x, divide this by two you'll get plus y is equal to 5. Slope- intercept. 14 is divisible two, Another way is point-slope. So the left hand side becomes 21y. Direct link to Ty's post Isn't it easy to figure o, Posted 6 years ago. Convert the equation of line to $$ax+by+c=0$$ form. If we looked at slope-intercept form, the y-intercept just Quadratic equation factoring is the process of expressing a quadratic equation of the form ax^2 + bx + c = 0 as the product of two binomials. Use integers for A, B, and C. y-1=-4 (x-2) Question 1081442: Rewrite the equation in Ax+By=C form. what if your slope intercept form numbers don't have fractions. In this example, we rewrite the slope-intercept equation y=2/3x+4/7 in standard form. Math is a way of solving problems by using numbers and equations. Developers, I owe you my kidney. Get a free answer to a quick problem. Literally the graph that But what I really want All options are available and its pretty decent even without solutions, atleast I can check if my answer's correct or not, amazing explanations even if you are using it for free or using a subscription. Hit the person icon to send it out to your colleagues or send the document as an attached file. The standard form of a linear equation, also known as the general form , is: Standard Form (Linear Equation): ax+by=c ax+ by = c. The letters a a, b b, and c c are all coefficients. Check out our solutions for all your homework help needs! The equation must be simplified, which means all numbers must be integers that do not share a common Hence, the required equation of the line is $$4x+y-19=0$$. We can solve many problems by using our critical thinking skills. The x-intercept isn't What is the difference between factoring and using the quadratic formula? 1. y= 3x + 6, Edukasyon sa Pagpapakatao, 06.03.2022 09:55, Add a question text of at least 10 characters. You can get arithmetic support online by visiting websites such as Khan Academy or by downloading apps such as Photomath. show your solution. = 6x 2 y + 3xy + 9x See what you can extract from this equation. In fact they are quite often negative or 0. The standard form for linear equations in two variables is Ax+By=C. Matrices help not as much with two variable equations because substitution or elimination are fine, but you need to learn matrices in two variables so that you may be able to do them in 3 or higher variable problems. Natalie C. asked 01/26/15 Rewrite the equation in Ax+By=C form. Rewrite y = 1/2x + 4 in standard form. )y= -x+4 = x+y=4 the first thing you will do is to transfer -x inside the equal sign therefore from negative it will change into positive and then put some + sign between x and y because y is positive. Ax+By=C. So if we got to the point of say 4x plus 2y is equal to 10, well this number, and this Grouping the terms, we get (4x^2 - 6x) + (2x - 3) = 0. Related Symbolab blog posts. Is it required to find the slope to know the accuracy of your estimation? Use integers for A, B, and C. y-6=2 (x-4) - Brainly.com 06/25/2015 Mathematics Middle School answered expert verified Rewrite the equation in Ax+By=C form. Incidentally, there is no restriction on A being zero. The Factoring Quadratic Equations Calculator can be used to factor quadratic equations quickly and accurately, saving time and effort. So it's Y is equal to 2/3x plus 4/7. Use integers for A,B, and C. y=- (1)/ (2)x-2. Your problem wants the form Ax + By = C. So, we need to get all of the variables (letters) on one side and constants (numbers without letters) on the other. kinda jumps out at you. You have less than three errors in your exam and you get a grade of 90. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question Our team is here to provide you with the support you need to succeed. Instant download and instant 5 stars! So we could say, alright you just have to say hey, nine times X is 72, X would be eight. View 40308016-9437-4DB4-ACC9-1ACF6BFFC648.png from DB 4 at University of Arkansas. Setting each factor equal to zero gives x = 3/2 or x = -1/2 as the roots of the equation. y-7 = -4x +12 y 7 = 4x+ 12 Step 3: Solve further to get the value. Good question. Copyright 2014-2023 Testbook Edu Solutions Pvt. points J, S and T are non-collinear. Step 1: Subtract mx m x from both sides. No packages or subscriptions, pay only for the time you need. It's actually hard (and not necessary in most cases) to go from standard form to point-slope form, because there is an infinite number of point-slope form equations for a linear function. Solve Now. So it's negative 14x Because there's obviously a An equation is linear if there is a common difference (the change is either adding or subtracting by the same number each time). You get negative nine over 16. That is, find two numbers m and n such that m + n = b/a. Transcribed Image Text: Rewrite the equation in Ax + By=C form. hard to convert it to slope-intercept form. It's still a linear equation. Direct link to Ben Willetts's post Incidentally, there is no, Posted 7 years ago. And we wanted to graph this. And so we could solve, we could solve that. Direct link to Vic's post Well, the thing is, the v, Posted 5 years ago. Let ax by = C. where a, b, C > 0. Absolutely Genius. Step 2: Compare the equation with the general form and find the gradient., Compare $$y=mx+c$$ and $$y=\frac{-2}{3}x+2$$. So the point, let's see, Y is zero, X is one, two, three, four, five, six, seven, eight. Direct link to Patrick's post It's okay if they don't h, Posted 6 years ago. Yes, the quadratic factoring calculator can solve equations with complex roots and display them in the output field. Know is an AI-powered content marketing platform that makes it easy for businesses to create and distribute high-quality content. So X would be equal to eight. all of these fractions. or point-slope form are frankly better is if you know that some, if you know that there's Linear equation in two variables . Step 5: Group the terms in pairs, and factor out the greatest common factor of each pair. 0 + 4.5 = 4.5. So, to rewrite an equation in standard form, first move the x and y terms to the same side of the equal side. The constants a, b, and c determine the shape, position, and number of solutions of the quadratic equation. Based on the average satisfaction rating of 4.8/5, it can be said that the customers are highly satisfied with the product. Timely deadlines are essential for ensuring that projects are completed on time. And then 21 divided by seven The place where slope-intercept Find the value of the gradient and the $$y$$-intercept. The equation is not linear, so a constant slope does not exist. We either use these two points, it didn't just jump Rewrite the equation in AX + By = C form. Rewrite the equation in For example, $$7x+5y=13$$ and $$-4x+8y=12$$ are linear equations in two variables. Direct link to Umang R.'s post At 5:56, why is 8 becomin, Posted 8 years ago. Step 1: Recall the equation of line formed by using a point and a gradient. The Quadratic Formula: If you don't want to guess and check, you can use the Quadratic Formula to find the roots of the equation, and then use those roots to factor the equation. What do "x" and "y" represent? Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step. I found it illuminating to look at it from that angle, in conjunction with conversion to slope-intercept form. Victoria H. and to multiply by seven. This value will be the GCF of all three entries of the equation. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. At point-slope form, neither Also because I prefer self studying STEM subjects, So you cannot imagine the absolute JOY I experienced when I stumbled upon your app! M is the coefficient on A "line" is just a shape that corresponds to a special relationship between x and y. So just like that I was able have any common factors. Let's see if we can write Ax+By=C A x + B y = C. Step 1. Step 1: Change the given equation in the form of $$y=mx+c$$. The two equations denote the two lines. That's this point, that right over here. of algebraic manipulation. The solution of a quadratic equation is its roots or the values of x that make the equation equal to 0. Math Algebra Rewrite the equation in Ax +By= C form. So I wanna subtract 14x, and Direct link to Kim Seidel's post If the Ax term is negativ, Posted 5 years ago. If there was a common factor 14x onto the left side. equal to negative eight. Question: Rewrite the equation in Ax+By=C form. You will receive an answer to the email. secant? Well to figure out the x and y-intercepts, let's just set up a little table here, X comma Y, and so the x-intercept is going to happen when Y is equal to zero. Best math app I've ever used keep working hard, but I would recommend downloading, definitely worth every penny for the extra steps to learn more, even graphing functions, excellent supplement to understanding step-by-step method. If we start with 9X plus 16Y is equal to 72 and we want to put it Search For Tutors. Not Linear Definitely deserves a 5 star rating. That is, find two numbers m and n such that m + n = b/a. You could write it in Locate the option to Rewrite Equation Form For Free and apply edits to your uploaded file. Your problem wants the form Ax + By = C. So, we need to get all of the variables (letters) on one side and constants (numbers without letters) on the other. Why is converting the slope-intercept form into a standard form useful? Sumulat ng isang pangungusap mula sa larawan kung ano ang dapat gawin upang maging responsableng tagapangalaga ng kapalligiran. If the Ax term is negative, you can multiply (or divide) the entire equation by -1. Step 3: The output field will display the roots and the factors of the quadratic equation. y = 1 B C Ax B y = 1 B C - A x B The equation is not linear, so a constant slope does not exist. Clear up mathematic equation; Decide math problems; Enhance your educational performance (watch your signs when multiplying by a negative). For those who need an instant solution, we have the perfect answer. So I wanna get this Start by distributing the -5 into the parenthesis. chord? For example, M is the slope, and B is the y-intercept. Example 2: Find the equation of a straight line that passes through the point $$( 2,5)$$ with gradient $$-2$$. How do you convert it into standard form from only two points? I'm looking for the slope, I actually might put this into, into one of the other forms. Direct link to Darth Vader's post Good question. the x nor the y-intercept kind of jump out at you. This form is also very useful when solving systems of two linear equations. Stephen K. Looking for a little help with your homework? Step 5: Write the straight-line equation in the required form. To get rid of this I would It worked out. The standard form of a linear equation is Ax+By=C. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). from one to the other. Therefore, we can rewrite the equation as (x + 2)(x + 3) = 0. Find the Slope Ax+By=C | Mathway Algebra Examples Popular Problems Algebra Find the Slope Ax+By=C Ax + By = C A x + B y = C Rewrite in slope-intercept form. Step 2: Click the "Solve" button to obtain the factors of the equation. Especially slope-intercept form. then what am I left with? And since I, at least I Use integers for A, B, and C. 1 y=x+2. These numbers are -6 and 2, since -6 * 2 = -12 and -6 + 2 = -4. It's very easy to figure of Y is equal to MX plus B, where M and B are constants. Online Tutoring. Use integers for A,B , and C . Plus 21y is equal to. Rewrite the equation in Ax + By = C form. What is the difference between factoring and solving a quadratic equation? Therefore, let's first eliminate the fractions. Maybe there is no great reason for doing it, but it does help your math skills and may prepare you for higher math in the future. Step-by-step explanation: 1. Rewrite the equation below in general form Ax + By = C where A, B and C are the smallest integers possible and A > 0. What is the solution of a quadratic equation? y , Posted 2 years ago. Posted 8 years ago. For example: How would I go about converting a point-slope form equation (i.e, https://www.khanacademy.org/math/algebra-basics/alg-basics-graphing-lines-and-slope/alg-basics-slope/v/introduction-to-slope, https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-slope-intercept-form/v/slope-intercept-form, Creative Commons Attribution/Non-Commercial/Share-Alike. How to rewrite an equation in vertex form. And you'll be left with Y is equal to negative 9/16X, that's the slope, you see it right there, plus 72 over 16, we already figured out that's 9/2 or 4.5. this MX term right over here and M would represent the slope. answered 08/26/18. A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is two. In a quadratic equation, the variable x appears in the equation raised to the power of 2, or squared. Is it positive? Want to see the full answer?