Parallel and Perpendicular Lines

What is the slope of a line parallel to the given line?
 $-3x+4y=2$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

•  $-\frac{3}{4}$  

•  $-\frac{4}{3}$  

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

 $-5x+y=1$  
What is the slope of a line perpendicular to the line represented by the equation?

•  $5$  

•  $-5$  

•  $\frac{1}{5}$  

•  $-\frac{1}{5}$  

Tags

CCSS.HSG.GPE.B.5

Which equation is the graph of line that is perpendicular to the line  $y=-\frac{6}{7}x+7$  

•  $y=-\frac{6}{7}x-2$  

•  $y=\frac{6}{7}x+1$  

•  $y=\frac{7}{6}x-8$  

•  $y=-\frac{7}{6}x+12$  

Which equation is the graph of line that is parallel to the line  $y=\frac{1}{3}x-4$  

•  $y=\frac{1}{3}x+7$  

•  $y=3x-5$  

•  $y=-\frac{1}{3}x-9$  

•  $y=-3x+3$  

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

A new line m is perpendicular to the graph of the equation and passes through point B.  $y=-4x+5$ .  What additional point is on line m.

• (3,4)

• (0,7)

• (-2,-1)

• (-5,2)

A new line m is parallel to the graph of the equation and passes through point B  $y=-\frac{1}{2}x+4$ .  What additional point is on line m. 

• (4,-2)

• (0,0)

• (1,1)

• (3,-3)

Tags

CCSS.HSG.GPE.A.1

Write the equation of a line parallel to the given line, that goes through the point (8,-1).

 $y=\frac{5}{8}x+2$  

•  $y=\frac{5}{8}x-6$  

•  $y=\frac{5}{8}x+4$  

•  $y=-\frac{8}{5}x+\frac{56}{5}$  

•  $y=-\frac{8}{5}x-\frac{72}{5}$  

Write the equation of a line perpendicular to the given line, that goes through the point (-3,5).
 $y=-2x+5$  

•  $y=\frac{1}{2}x+\frac{13}{2}$  

•  $y=\frac{1}{2}x-\frac{7}{2}$  

•  $y=-2x+11$  

•  $y=-2x-1$  

Write the equation of a line (in slope intercept form) that goes through point T, and is parallel to line BC.

• y=-4x-14

• y=-4x+10

• $y=\frac{1}{4}x-\frac{5}{4}$

• $y=\frac{1}{4}x+\frac{11}{4}$

Write the equation of a line (in slope intercept form) that goes through point T, and is perpendicular to line BC.

• y=-2x+5

• y=-2x-2

•  $y=\frac{1}{2}x+\frac{7}{2}$  

•  $y=\frac{1}{2}x-1$