Parallel and Perpendicular Line Equations

What is the equation of the parallel line to $y=3x+1$  that contains the point  $\left(5,\ -2\right)$  ?

•  $y+2=3\left(x-5\right)$  

•  $y+2=-\frac{1}{3}\left(x-5\right)$  

•  $y-5=3\left(x+2\right)$  

•  $y-5=-\frac{1}{3}\left(x+2\right)$  

What is the equation of the perpendicular line to $y=\frac{1}{4}x-3$  that contains the point  $\left(-1,\ 2\right)$  ?

•  $y+1=-4\left(x-2\right)$  

•  $y+1=\frac{1}{4}\left(x-2\right)$  

•  $y-2=\frac{1}{4}\left(x+1\right)$  

•  $y-2=-4\left(x+1\right)$  

What is perpendicular to a vertical line?

• a horizontal line

• another vertical line

• any line

What is parallel to a vertical line?

• a horizontal line

• another vertical line

• any line

What is the equation of the perpendicular line to $y=3$  that contains the point  $\left(-2,\ 5\right)$  ?

•  $y=-2$  

•  $x=-2$  

•  $y=5$  

•  $x=5$  

What is the equation of the parallel line to $y=3$  that contains the point  $\left(-2,\ 5\right)$  ?

•  $y=-2$  

•  $x=-2$  

•  $y=5$  

•  $x=5$  

What is the equation of the perpendicular line to $x=1$  that contains the point  $\left(6,\ -4\right)$  ?

•  $x=6$  

•  $y=6$  

•  $x=-4$  

•  $y=-4$  

What is the equation of the parallel line to $x=1$  that contains the point  $\left(6,\ -4\right)$  ?

•  $x=6$  

•  $y=6$  

•  $x=-4$  

•  $y=-4$  

What is the equation of the perpendicular line to $2x+y=10$  that contains the point  $\left(-1,\ -7\right)$  ?

•  $y=-2x-9$  

•  $y=\frac{1}{2}x-6.5$  

•  $y=-2x-15$  

•  $y=\frac{1}{2}x+2.5$  

What is the equation of the parallel line to $2x+y=10$  that contains the point  $\left(-1,\ -7\right)$  ?

•  $y=-2x-9$  

•  $y=\frac{1}{2}x-6.5$  

•  $y=-2x-15$  

•  $y=\frac{1}{2}x+2.5$