Download presentation

Presentation is loading. Please wait.

1
**Day Problems Graph each equation.**

1. y – 2 = (x – 3) 2. y + 3 = -2(x – 1) Write an equation in point-slope form for the line through the given point with the given slope. 3. (4 , 2); m = (-5 , 2); m = 0 A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. 5. (-1 , 0) , (1 , 2)

2
**6.5 Parallel and Perpendicular Lines 2/22/11**

Parallel lines – lines in the same plane that never intersect.

3
**Slopes of Parallel Lines**

Nonvertical lines are parallel if they have the SAME SLOPE and DIFFERENT Y-INTERCEPTS. Any two vertical lines are parallel. Example – The equations y = 2x + 1 and y = 2x + 3 have the same slope, 2, and different y-intercepts. The graphs of the two equations are parallel.

4
**Determining Whether Lines are Parallel**

Are the graphs of and 2x + 6y = 12 parallel? Explain. Write 2x + 6y = 12 in slope-intercept form. Then compare with The lines are parallel. The equations have the same slope, , and different y-intercepts.

5
**Writing Equations of Parallel Lines**

Write an equation for the line that contains (5 , 1) and is parallel to Step 1 – Identify the slope of the given line. Step 2 – Write an equation of the line through (5 , 1) using point-slope form, then change to slope-intercept.

6
**Perpendicular Lines 2/23/11**

Perpendicular lines – lines that intersect to form right angles. SLOPES OF PERPENDICULAR LINES Two lines are perpendicular their slope is the opposite reciprocal of the given slope. A vertical and horizontal line are also perpendicular. EXAMPLE – the slope of is The slope of y = 4x + 2 is 4.

7
**Opposite Reciprocal How to find the opposite reciprocal of a number:**

Start with Find its Write the a fraction reciprocal opp. reciprocal Start with Find its Write its an integer reciprocal opp. reciprocal

8
**Writing Equations for Perpendicular Lines**

Find an equation of the line that contains (0 , -2) and is perpendicular to y = 5x + 3. Step 1- Identify the slope of the given line. m = 5 Step 2 – Find the opposite reciprocal of the slope: Step 3 – Use the slope-intercept form to write an equation.

9
**More Practice!!! Textbook – p. 314 #2 – 30 even.**

Homework – Worksheet 6.5.

Similar presentations

© 2023 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