Perpendicular Lines

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

• $y=-\frac{1}{2}x+\frac{1}{2}$

• $y=\frac{1}{2}x+2$

• $y=-2x+7$

• $y=-2x+8$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to  $y=\frac{1}{3}x-9$  that passes through the point (-6, 10).

•  $y=\frac{1}{3}x-9$ 

•  $y=\frac{1}{3}x+10$ 

•  $y=-3x+6$ 

•  $y=-3x-8$ 

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to 3x + y = 1 that passes through the point (3, -1).

• $y=\frac{1}{3}x$

• $y=\frac{1}{3}x-2$

• $y=-3x+8$

• $y=\frac{1}{3}x+\frac{10}{3}$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that passes through the point (2, -3). 

•  $=-\frac{5}{2}x-\frac{11}{2}$  

•  $y=-\frac{5}{2}x+2$  

•  $y=-\frac{5}{2}x+8$  

•  $y=\frac{2}{5}x+\frac{19}{5}$   

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

Select the two lines that are perpendicular.

• $y=4x-2$

• $y=-\frac{1}{4}x$

• $y=-4x+1$

• None are perpendicular.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

Slopes of perpendicular lines are...

• opposite (sign) reciprocals.

• opposites.

• identical.

• always 7.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Slopes of parallel lines are...

• opposite reciprocals.
• opposites.
• the same.
• always 7.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

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

• -2
• 1/2
• -1/2
• 2

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

 $-5x+y=1$  
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  $y=-\frac{6}{7}x+7$  

•  $y=-\frac{6}{7}x-2$  

•  $y=\frac{6}{7}x+1$  

•  $y=\frac{7}{6}x-8$  

•  $y=-\frac{7}{6}x+12$