In this lesson, we learn how to graph our line using the y-intercept and the slope. First, we know that the y-intercept (b) is on the y-axis, so we graph that point. Next, we use the slope to find a second point in relation to that intercept. The following video will show you how this is done with two examples.

Video Source (05:37 mins) | Transcript

Steps for graphing an equation using the slope and y-intercept:

- Find the y-intercept (b when the equation is y = mx + b).
- Plot the y-intercept, the point will be (0, b).
- Find the slope (m when the equation is y = mx + b).
- Make a single step, using the rise and run from the slope (make sure you go up to the right if it’s positive and down to the right if it’s negative).
- Connect those two points with your line.

- Khan Academy: Intro to Slope-intercept Form (08:59 mins, Transcript)
- Khan Academy: Graph from Slope-intercept Equations (03:01 mins, Transcript)
- Khan Academy: Slope-intercept Examples (03:45 mins, Transcript)

Practice Problems

- Plot the line \({\text{y}}=-3{\text{x}}+2\) starting with the y-intercept and then using the slope.
- Plot the line \({\text{y}}=\frac{1}{2}{\text{x}}-3\) starting with the y-intercept and then using the slope.
- Plot the line \({\text{y}}=-\frac{3}{5}{\text{x}}+1\) starting with the y-intercept and then using the slope.
- Plot the line \({\text{y}}=2{\text{x}}+3\) starting with the y-intercept and then using the slope.
- Plot the line \({\text{y}}=-{\text{x}}-4\) starting with the y-intercept and then using the slope.
- Plot the line \({\text{y}}=\frac{4}{5}{\text{x}}+4\) starting with the y-intercept and then using the slope.