Equations of Parallel and Perpendicular Lines

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

•  $y=\frac{1}{6}x+\frac{25}{6}$  

•  $y=-6x-2$  

•  $y=\frac{1}{6}x+4$  

•  $y=-6x+4$  

Tags

CCSS.HSG.GPE.B.5

Which of the following lines is PARALLEL to the graph of  $y=5x+7$   and goes through the point  $\left(0,-2\right)$   ?

•  $y=5x-2$  

•  $y=5\left(x-2\right)$  

•  $y=-2x+7$  

•  $y=-\frac{1}{5}x-2$  

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.5

Which of the following lines is PARALLEL to the graph of  $y=-2x+4$   and goes through the point  $\left(-3,2\right)$   ?

•  $y=-2x-4$  

•  $y=-2x+3$  

•  $y=-2x+7$  

•  $y=-2x-8$  

Tags

CCSS.HSG.GPE.B.5

Which of the following lines is PARALLEL to the graph of  $y=x-5$   and goes through the point  $\left(1,-2\right)$   ?

•  $y=-3x+1$  

•  $y=x+1$  

•  $y=x-3$  

•  $y=3x+1$  

Tags

CCSS.HSG.GPE.B.5

Which of the following lines is PARALLEL to the graph of  $y=4x-10$   and goes through the point  $\left(5,8\right)$   ?

•  $y=4x+28$  

•  $y=-\frac{1}{4}x+28$  

•  $y=4x-12$  

•  $y=-\frac{1}{4}x-12$  

Tags

CCSS.HSG.GPE.B.5

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

•  $y=\frac{1}{3}x+5$  

•  $y=-\frac{1}{3}x+5$  

•  $y=\frac{1}{3}x+11$  

•  $y=-\frac{1}{3}x+11$  

Tags

CCSS.HSG.GPE.B.5

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

•  $y=\frac{1}{3}x-3$  

•  $y=\frac{1}{3}x-1$  

•  $y=-\frac{1}{3}x-9$  

•  $y=-3x-9$  

Tags

CCSS.HSG.GPE.B.5

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

•  $y=-2x-24$  

•  $y=-2x+24$  

•  $y=-2x+12$  

•  $y=\frac{1}{2}x-12$  

Tags

CCSS.HSG.GPE.B.5

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

•  $y=-\frac{1}{2}x+\frac{1}{2}$ 

•  $y=\frac{1}{2}x+2$ 

•  $y=-2x+7$ 

•  $y=-2x+8$ 

Tags

CCSS.HSG.GPE.B.5

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

•  $y=-\frac{1}{3}x+14$ 

•  $y=-\frac{1}{3}x-10$ 

•  $y=3x+22$ 

•  $y=3x-14$ 

Tags

CCSS.HSG.GPE.B.5