Parallel and Perpendicular Equations

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

•  $y+2=3\left(x-5\right)$  

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

•  $y-5=3\left(x+2\right)$  

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

Tags

CCSS.HSG.GPE.B.5

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

•  $y+1=-4\left(x-2\right)$  

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

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

•  $y-2=-4\left(x+1\right)$  

Tags

CCSS.HSG.GPE.B.5

What is perpendicular to a vertical line?

• a horizontal line

• another vertical line

• any line

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

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

•  $y=-2x-9$  

•  $y=\frac{1}{2}x-6.5$  

•  $y=-2x-15$  

•  $y=\frac{1}{2}x+2.5$  

Tags

CCSS.HSG.GPE.B.5

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

•  $y=-2x-9$  

•  $y=\frac{1}{2}x-6.5$  

•  $y=-2x-15$  

•  $y=\frac{1}{2}x+2.5$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Slopes of parallel lines are...

• opposite reciprocals.

• opposites

• same

• always positive

Tags

CCSS.8.EE.B.5

Slopes of perpendicular lines are...

• opposite reciprocals

• opposites

• identical

• always negative

Tags

CCSS.8.EE.B.5

y = 3x +2
y = 3x - 3
These lines are...

• Parallel
• Perpendicular
• Neither
• The same line

Tags

CCSS.8.EE.C.8B

-6x + y = 2
6x + y = 2
These lines are...

• Parallel
• Perpendicular
• Neither

Tags

CCSS.8.EE.C.8B

y = -2/3x + 2
y = 3/2x + 9
These lines are...

• Parallel
• Perpendicular
• Neither

Tags

CCSS.8.EE.B.5