Equations of Parallel and Perpendicular Lines

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

• $y=2x\ -3$

• $y=2x-5$

• $y=2x\ +\ 1$

• $y=-\frac{1}{2}x+\frac{5}{2}$

Tags

CCSS.HSG.GPE.B.5

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

Select the two lines that are parallel.

• $y=4x-2$

• $y=-\frac{1}{4}x$

• $y=-4x+1$

• None are parallel.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)

• y = 1/4x + 6
• y = -4x + 7
• y = -4x + 2
• y = 1/4x -1 

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.GPE.B.5

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2      (3, -4)

• y = 3x - 2
• y = -1/3x - 5
• y = 3x - 4
• y = -1/3x - 3

Tags

CCSS.HSG.GPE.B.5

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

• parallel
• perpendicular
• neither parallel nor perpendicular
• both parallel and perpendicular

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an y-intercept of -2?

• $y=4x-2$

• $y=4x+8$

• $y=\frac{1}{4}x-2$

• $y=-\frac{1}{4}x-2$

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Are the equations parallel, perpendicular, or neither?

• Parallel
• Perpendicular
• Neither

Tags

CCSS.HSG.CO.A.1

A line is perpendicular to y = 2x + 4

What is the slope of this line?

• -2

• 1/2

• -1/2

• 2

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Level 3

Which two equations below are parallel?

• y = 2x + 1 and y = -1/2x + 1

• y = 2x + 3 and y = -2x + 3

• y = 2x - 1 and y = 1/2x - 1

• y = -x + 4 and y = -x + 2

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5