Write Equations for 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

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 PARALLEL to 3x - y = 2 that passes through the point (1, 5).

• y = 3x - 14

• y = 3x + 2

• $y=\frac{1}{3}x+6$

• $y=\frac{1}{3}x-4$

Tags

CCSS.HSG.GPE.B.5

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

• Parallel
• Perpendicular
• Neither

Tags

CCSS.8.EE.B.6

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.A.1

CCSS.HSG.GPE.B.5

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Two lines that are parallel will have ...

• Slope that is opposite reciprocals

• No slope

• Slope that is the same

• none of the above

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Two lines that are perpendicular lines have ...

• Slope that is opposite reciprocals

• No Slope

• Slope that is the same

• none of the above

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Are the lines y=-x-3 and 4x+4y=12 perpendicular? Explain

• No; their slopes are not equal

• Yes; their slopes are equal.

• No; their slopes are not opposite reciprocals.

• Yes; their slopes have a product of -1.

Tags

CCSS.HSG.GPE.B.5