Download presentation

1
**Perpendicular Lines and Slope**

2
Perpendicular Lines A line is perpendicular to another if it meets or crosses at right angles (90°). For instance, a horizontal and a vertical line are perpendicular lines.

3
**Slopes of Perpendicular Lines**

Complete the following assuming Line A and Line B are perpendicular. Make Line A have a slope of What is the slope of Line B (the line perpendicular to Line A)? A B A B A B A B -3 2 2 3

4
**Slopes of Perpendicular Lines**

Two lines are perpendicular if their slopes are opposite reciprocals of each other. In other words, if the slope of a line is then the perpendicular line has a slope of Example: What is the slope of a line perpendicular to each equation below.

5
**Note: The y-intercepts Normally are Not the Same**

99.9% of the time, if two lines are parallel or perpendicular, they will NOT have the same y-intercept. (In fact, only RARELY do perpendicular lines share a y-intercept. If lines with the same slope have the same y-intercept, the lines coincide and are not parallel.)

6
**Example Find the y-intercept.**

Algebraically find the equation of the line that goes through the point (2,3) and is perpendicular to y = -4x – 2. This y-intercept does not matter. Find the y-intercept. Use Slope-Intercept Form: The slope is ¼ A point on the graph is x=2 and y=-3 The equation now has one distinct variable. Solve it. Substitute back into Slope-Intercept Form:

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google