y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

12
y x y=x- 2 y=x+2 Slopes are the same

Transcript of y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

Page 1: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

y

x

y=x-2

y=x+2

Slopes are the same

Page 2: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

y

x

y=2x-4

y=2x+1

Slopes are the same

Page 3: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

xy 5 1,0

051 xy051 xy

1 1

15 xyWhy is This line is parallel to the original ?

Page 4: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

72 xy 4,3

324 xy324 xy

4 4

12 xyWhy is This line is parallel to the original ?

Page 5: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

543 xy 4,8

84 43 xy

64 43 xy

4 4

1043 xy

Why is This line is parallel to the original ?

Page 6: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

923 xy 0,4

40 23 xy

60 23 xy

623 xy

Page 7: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

y

x

y= 2x+1

y= -1/2x+1

Slopes are NEGATIVE reciprocals

Page 8: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

y

x

y= 3x+1

y= -1/3x+1

Slopes are NEGATIVE reciprocals

Page 9: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

23 xy 4,6

64 31 xy

24 31 xy

4 463

1 xyFind the equation of the line that is

perpendicular to the original ?

Page 10: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

741 xy 1,1

141 xy441 xy

1 134 xy

Find the equation of the line that is perpendicular to the original ?

Page 11: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

161 xy 4,1

164 xy664 xy

4 4106 xy

Find the equation of the line that is perpendicular to the original ?

Page 12: y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

#1 If lines are parallelTheir slopes are equal

#2 If lines are perpendicular

Their slopes are Negative reciprocals


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Aim: Slopes of Parallel Lines Course: Applied Geometry Do Now: a. y = 2x + 5 b. y = 2x – 1 c. y = 2x + 2 Aim: What is the relationship between slopes.

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