Download presentation

1
**4.3 Parallel and Perpendicular Lines**

Algebra 2/Geometry High School

2
**Parallel and Perpendicular Lines**

Teacher Page Content: Write the equation of a parallel or perpendicular line to a given line, in slope intercept form. Grade Level: Algebra 2/Geometry Creator: Don Sutcliffe Other – Print slides as a handout for students to take notes. MAP TAP Parallel and Perpendicular Lines

3
**Parallel and Perpendicular Lines**

Teacher Page Curriculum Objectives: Algebra 2 – II.A – The learner will find the slope of a linear equation and the relationships of the slopes of parallel and perpendicular lines. MAP Objectives: Missouri Show-Me Standard – Math – MA1, MA2, MA4, MA5 Missouri Show-Me Standard – Goal – G1.6, G3.4, G3.5, G4.1 MAP TAP Parallel and Perpendicular Lines

4
**Parallel and Perpendicular Lines**

Parallel Lines Two non-vertical lines are parallel if and only if their slopes are equal. If l1║l2, then m1= m2. If m1= m2, then l1║l2. m1 m2 l1 l2 MAP TAP Parallel and Perpendicular Lines

5
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x+2. m = 2/3 and the point is (3,6) y = mx+b 6 = 2/3(3)+b 6 = 2+b 4 = b y = 2/3x+4 MAP TAP Parallel and Perpendicular Lines

6
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (4,-5) and is parallel to y = -2x-4. m = -2 and the point is (4,-5) y = mx+b -5 = -2(4)+b -5 = -8+b 3 = b y = -2x+3 MAP TAP Parallel and Perpendicular Lines

7
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (-6,4) and is parallel to y=1/3x-1. m=1/3 and the point is (-6,4) y =1/3x+6 MAP TAP Parallel and Perpendicular Lines

8
Perpendicular Lines Two non-vertical lines are perpendicular if and only if the product of their slopes is -1. If l1┴l2, then m1 ● m2= -1. If m1● m2 = -1, then l1┴l2. m1 l1 m2 Slopes are negative reciprocals l2 MAP TAP Parallel and Perpendicular Lines

9
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (6,-5) and is perpendicular to y = 2x+3. m = -1/2 and the point is (6,-5) y = mx+b -5 = -1/2(6)+b -5 = -3+b -2 = b y = -1/2x-2 MAP TAP Parallel and Perpendicular Lines

10
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (6,-7) and is perpendicular to y = 2/3x+1. m = -3/2 and the point is (6,-7) y = mx+b -7 = -3/2(6)+b -7 = -9+b 2 = b y = -3/2x+2 MAP TAP Parallel and Perpendicular Lines

11
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (-4,-3) and is perpendicular to y = x+6. m = -1 and the point is (-4,-3) y = -x-7 MAP TAP Parallel and Perpendicular Lines

12
**Parallel and Perpendicular Lines**

End Show MAP TAP Parallel and Perpendicular Lines

13
**Parallel and Perpendicular Lines**

Parallel Lines Two non-vertical lines are parallel if and only if their slopes are equal. If l1║l2, then m1= m2. If m1= m2, then l1║l2. m1 m2 l1 l2 MAP TAP Parallel and Perpendicular Lines

14
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x+2. m = _____ and the point is (__,__) y = mx+b MAP TAP Parallel and Perpendicular Lines

15
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (4,-5) and is parallel to y = -2x-4. m = ____ and the point is (__,__) MAP TAP Parallel and Perpendicular Lines

16
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (-6,4) and is parallel to y=1/3x-1. m=___ and the point is (__,__) MAP TAP Parallel and Perpendicular Lines

17
**Parallel and Perpendicular Lines**

Two non-vertical lines are perpendicular if and only if the product of their slopes is -1. If l1┴l2, then m1 ● m2= -1. If m1● m2 = -1, then l1┴l2. m1 l1 m2 l2 MAP TAP Parallel and Perpendicular Lines

18
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (6,-5) and is perpendicular to y = 2x+3. m = ___ and the point is (__,-__) MAP TAP Parallel and Perpendicular Lines

19
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (6,-7) and is perpendicular to y = 2/3x+1. m = ____ and the point is (__, __) MAP TAP Parallel and Perpendicular Lines

20
**Parallel and Perpendicular Lines**

Write the equation of the line that passes through (-4,-3) and is perpendicular to y = x+6. m = ___ and the point is (__,__) MAP TAP Parallel and Perpendicular Lines

Similar presentations

Presentation is loading. Please wait....

OK

Writing Equations Index Card Activity.

Writing Equations Index Card Activity.

© 2018 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