# How to write an equation in slope intercept form using a table

Equations of lines come in several different forms. Two of those are: Slope-intercept form linear equations Video transcript A line goes through the following points, and the equation of that line is written in y equals mx plus b form.

Also known as slope-intercept form. What is the equation of the line? So the first thing we want to think about, what is the slope of this line? What is m here? So what is our change in y for given change in x?

So this is an interesting example here. And I encourage you to pause the video and try it out yourself. Because no matter how much we change x, y is not changing. So your change in y between any two points is going to be 0.

## Example 1: Writing an Equation Given the Slope and Y-Intercept

It doesn't matter what your change in x is, your change in x could be 1, your change in x could be 4, your change in y is always 0. So y is not changing as you change x. So your slope for this relationship is actually 0. Y is equal to 0x plus-- and then, you could just realize that the equation of this is just that y is always equal to 2.

So it's 0x plus 2, which is the same thing as y is equal to 2. You could substitute back in. You could say OK, well, if y is equal to 0x plus b, that means that y is equal to b. Well, y is always equal to 2, no matter what thing you pick, so b is equal to 2. So either way, this just boils down to y is equal to 0x plus 2, or y is just equal to 2.

Let's do another one of these. Maybe one where the y is actually changing. So here, the y is clearly actually changing. So let me copy and paste this. I want to put on my scratch pad. We can work it out. So we'll stick it right over here.

And then we are told a line goes through the-- OK, so same thing. The line goes through these points with the equation of a line.

So the main idea here is, you only need 2 points for an equation of line. They've given us more than necessary. So I'd like to pick the two points that make things a little bit simpler. So I'll pick the point 4, 2 and 7, 0. I just picked those two points because they have nice, clean numbers associated with it. So what is our change in x here? So our change in x here, if we go from 4 to 7, our change in x is equal to 3.

## Writing Function In Slope Intercept Form Worksheets - Printable Worksheets

And what's our change in y here?Students learn to write the equation of a line in slope-intercept form using a table of ordered pairs.

The first step is to determine if the ordered pairs in the table lie on a line, so that slope-intercept form, or y = mx + b form, can be used to write the equation of the line. Write a slope intercept equation using the slope and y intercept, replacing the coordinates of the point with x and y.

Given two points on a line, write the equation of the line in slope-intercept form. Video: Parabolas in Standard, Intercept, and Vertex Form By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing.

Question: The line through (-1, -2) with slope 3/7 (2) Write the equation of each line. Give the answer in standard form using only integers as the coefficients. Graphing a Linear Equation Using Slope Intercept Form.