Download presentation

Presentation is loading. Please wait.

Published byMaude Terry Modified over 6 years ago

1
4.4 – Parallel & Perpendicular Lines

2
Parallel Lines

3
Parallel Lines – slopes are the same

4
Parallel Lines – slopes are the same (m)

5
Perpendicular Lines

6
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical

7
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical

8
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -m

9
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -m

10
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -1 m

11
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -1 m Ex. 1 Perpendicular or Parallel?

12
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -1 m Ex. 1 Perpendicular or Parallel? a) y = ½x + 2 y = ½x – 9

13
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -1 m Ex. 1 Perpendicular or Parallel? a) y = ½x + 2 || y = ½x – 9

14
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -1 m Ex. 1 Perpendicular or Parallel? a) y = ½x + 2 || b) y = 3x – 5 y = ½x – 9 y = -⅓x + 7

15
Parallel Lines – slopes are the same (m) Perpendicular Lines – slopes are the opposite reciprical -1 m Ex. 1 Perpendicular or Parallel? a) y = ½x + 2 || b) y = 3x – 5 _|_ y = ½x – 9 y = -⅓x + 7

16
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.

17
1)Find the slope needed.

18
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed.

19
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12

20
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12 -x-x

21
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12

22
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4

23
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3

24
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼

25
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1)Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4

26
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation.

27
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation.

28
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation.

29
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 )

30
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y –

31
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y –

32
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y –

33
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) =

34
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) =

35
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) =

36
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x -

37
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x -

38
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x -

39
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x – (-3))

40
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x – (-3)) y + 2 = 4(x + 3)

41
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x – (-3)) y + 2 = 4(x + 3) y + 2 = 4x + 12

42
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x – (-3)) y + 2 = 4(x + 3) y + 2 = 4x + 12

43
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x – (-3)) y + 2 = 4(x + 3) y + 2 = 4x + 12 - 2 - 2

44
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12. 1) Find the slope needed. x + 4y = 12 -x-x 4y = -x + 12 4 4 4 y = -¼x + 3 m = -¼, m ┴ = 4 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (-2) = 4(x – (-3)) y + 2 = 4(x + 3) y + 2 = 4x + 12 - 2 - 2 y = 4x + 10

45
Ex. 3 Write the slope-intercept form of the equation through (9, 0) parallel to the graph of y = - ⅓ x + 2.

46
1) Find the slope needed. y = -⅓x + 2 m = -⅓, m || = -⅓

47
Ex. 3 Write the slope-intercept form of the equation through (9, 0) parallel to the graph of y = -⅓x + 2. 1) Find the slope needed. y = -⅓x + 2 m = -⅓, m || = -⅓ 2) Use coordinate point & slope to write equation. y – y 1 = m(x – x 1 ) y – (0) = -⅓ (x – (9)) y = -⅓ (x – 9) y = -⅓ x + 3

Similar presentations

© 2022 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