3.7 perpendicular lines perpendicular slopes and equations

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3.7 Perpendicular Lines Perpendicular slopes and equations

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Page 1: 3.7 Perpendicular Lines Perpendicular slopes and equations

3.7 Perpendicular Lines

Perpendicular slopes and equations

Page 2: 3.7 Perpendicular Lines Perpendicular slopes and equations

Perpendicular Slopes

Slope of perpendicular lines have opposite reciprocal slopes.

If m1 = -2, then it opposite reciprocal would be ½.

y = - 2x + 3 and y = ½x – 3 would be perpendicular lines

Page 3: 3.7 Perpendicular Lines Perpendicular slopes and equations

y = - 2x + 3 and y = ½x – 3 would be perpendicular lines

Page 4: 3.7 Perpendicular Lines Perpendicular slopes and equations

Are the lines Perpendicular?

3,3 1,0 2,5

4,1

Page 5: 3.7 Perpendicular Lines Perpendicular slopes and equations

Are these lines perpendicular?

12

3

13

2

xy

xy

Page 6: 3.7 Perpendicular Lines Perpendicular slopes and equations

Are these lines perpendicular?

-2x + 7y = - 4

7x + 2y = 10

Page 7: 3.7 Perpendicular Lines Perpendicular slopes and equations

Write the equation perpendicular to the line y = 3x – 2 and through the point (3, 4)

Page 8: 3.7 Perpendicular Lines Perpendicular slopes and equations

The equation represents a mirror.

A ray of light hits the mirror at (3, 1).

What is the equation of the line that is perpendicular to the mirror at this point?

43

5 xy

Page 9: 3.7 Perpendicular Lines Perpendicular slopes and equations

What are 6 ways to prove lines parallel?

Page 10: 3.7 Perpendicular Lines Perpendicular slopes and equations

HomeworkHomework

Page 175 – 178 Page 175 – 178

##8 – 50 even8 – 50 even