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.

Graphing a Line Using the Slope and Y-Intercept

Video Source (05:37 mins) | Transcript

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

- Find the y-intercept = b of the equation \( y = mx + b \).
- Plot the y-intercept. The point will be \((0, b)\).
- Find the slope=m of the equation \( y = mx + b \).
- 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.

## Additional Resources

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

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