## Objective:

**To use the slope-intercept form to graph linear equations.**

## Vocabulary:

**Slope**- The ratio,*m*, of the vertical change to the horizontal change of a line.- It describes the
*rate of change*or slant of the line. - Think of it as "
*rise over run*".

- It describes the
**y-intercept**- The point,*b*, where the line crosses the y-axis.**slope-intercept form**-*y = mx + b*, where*m*is the slope and*b*is the y-intercept.

## Notes:

### Steps to sketch the line:

- Solve the equation for y (get y by itself) (if needed).
- Plot the y-intercept, b, on the y-axis
- Use the slope to plot a few more points.
- Remember:

## Examples:

### Sketch each line:

- 8x − 4y = 12

- Now that the equation is in slope-intercept form you know that the slope is 2 and the y-intercept is −3.
- Plot the y-intercept on the y-axis.
- Use the slope to plot a few more points.
- The
*positive slope*tells us that the line will go*up*.

- The

- 3x + 4y − 12 = 0

- Now that the equation is in slope-intercept form you know that the slope is −3/4 and the y-intercept is 3.
- Plot the y-intercept on the y-axis.
- Use the slope to plot a few more points.
- The
*negative*slope tells us that the line will go*down*.

- The