# 4.5: Graphs Using Slope-Intercept Form

Created by: CK-12

## Learning Objectives

At the end of this lesson, students will be able to:

- Identify the slope and intercept of equations and graphs.
- Graph an equation in slope-intercept form.
- Understand what happens when you change the slope or intercept of a line.
- Identify parallel lines from their equations.

## Vocabulary

Terms introduced in this lesson:

- slope-intercept form
- rise
- run
- parallel lines

## Teaching Strategies and Tips

Use Examples 1 and 2 to make observations such as:

- when a line slants downward and when it slants upward.
- when a line is horizontal.
- when the intercept is below the axis and when it’s above the axis.
- when a line passes through the origin.

Use the slope-intercept method to graph lines as an alternative to plotting and joining two intercepts.

With a graphing utility, demonstrate the effects on a line when changing and one at a time in an equation in slope-intercept form. Make observations such as:

- The larger the , the steeper the line.
- Negative slopes can also represent steep lines. The smaller the (more negative), the steeper the line.
- Slopes approximately equal to zero represent lines that are almost horizontal.
- Changing the intercept shifts a line up/down.
- Parallel lines have the same slope but different intercepts.

## Error Troubleshooting

In Example 2, use the marked lattice points and/or intercepts in the slope calculation for each line. Using these points allows students to obtain exact answers. See also *Review Questions*, Problems 2 and 3.

### Image Attributions

## Description

No description available here...

## Authors:

## Categories:

## Date Created:

Feb 22, 2012## Last Modified:

Apr 29, 2014**You can only attach files to None which belong to you**

If you would like to associate files with this None, please make a copy first.