Perpendicular Lines

Slopes of perpendicular lines are...

• negative reciprocals

• the same

• opposites

• always negative

A line is perpendicular to y=5x-2 . What is the slope of this line?

What is the perpendicular slope for the line y= 2/3 x

• 3/2

• 2/3

• -3/2

• -2/3

A line is perpendicular to  $y=2x-7$  . What is the slope of this line?

•  $-2$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

•  $2$  

What is the perpendicular slope for 3x-y=12

• 1/3

• 3

• -3

• -1/3

Which of the following lines is PERPENDICULAR to the graph of  $y=3x+4$   and goes through the point  $\left(-9,8\right)$   ?

•  $y=\frac{1}{3}x+5$  

•  $y=-\frac{1}{3}x+5$  

•  $y=\frac{1}{3}x+11$  

•  $y=-\frac{1}{3}x+11$  

Which of the following lines is PERPENDICULAR to the graph of  $y=-3x-2$   and goes through the point  $\left(9,2\right)$   ?

•  $y=\frac{1}{3}x-3$  

•  $y=\frac{1}{3}x-1$  

•  $y=-\frac{1}{3}x-9$  

•  $y=-3x-9$  

Which of the following lines is PERPENDICULAR to the graph of  $y=\frac{1}{2}x-9$   and goes through the point  $\left(7,10\right)$   ?

•  $y=-2x-24$  

•  $y=-2x+24$  

•  $y=-2x+12$  

•  $y=\frac{1}{2}x-12$  

Which of the following lines is PERPENDICULAR to the graph of  $y=-2x+1$  and goes through the point  $\left(2,3\right)$  ?

•  $y=-\frac{1}{2}x+\frac{1}{2}$ 

•  $y=\frac{1}{2}x+2$ 

•  $y=-2x+7$ 

•  $y=-2x+8$ 

Which of the following lines is PERPENDICULAR to the graph of  $y=-\frac{1}{3}x+5$  and goes through the point  $\left(6,4\right)$  ?

•  $y=-\frac{1}{3}x+14$ 

•  $y=-\frac{1}{3}x-10$ 

•  $y=3x+22$ 

•  $y=3x-14$