Equations of Parallel and Perpendicular Lines

PERPENDICULAR lines have slopes that are ___________________.

• the same

• opposite reciprocals

• equal

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

PARALLEL lines have slopes that are ___________________.

• the same

• opposite reciprocals

• equal

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Which equation would be PARALLEL to the given line?

 $y=-\frac{7}{3}x+5$  

•  $y=\frac{3}{7}x+3$  

•  $y=7x-2$  

•  $y=-\frac{1}{3}x+5$  

•  $y=-\frac{7}{3}x-8$  

Tags

CCSS.HSG.GPE.B.5

Which equation would be PERPENDICULAR to the given line?

 $y=-\frac{7}{3}x+5$  

•  $y=\frac{3}{7}x+3$  

•  $y=7x-2$  

•  $y=-\frac{1}{3}x+5$  

•  $y=-\frac{7}{3}x-8$  

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Which equation would be PARALLEL to the given line?

 $y=\frac{1}{4}x-3$  

•  $y=4x-6$  

•  $y=\frac{1}{4}x+2$  

•  $y=-4x+1$  

•  $y=3x-3$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Which equation would be PERPENDICULAR to the given line?

 $y=\frac{1}{4}x-3$  

•  $y=4x-6$  

•  $y=\frac{1}{4}x+2$  

•  $y=-4x+1$  

•  $y=3x-3$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Which equation would be PARALLEL to the given line?

 $y=-7x+2$  

•  $y=-\frac{1}{7}x-4$  

•  $y=7x+2$  

•  $y=-3x+2$  

•  $y=-7x+12$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Which equation would be PERPENDICULAR to the given line?

 $y=-7x+2$  

•  $y=-\frac{1}{7}x-4$  

•  $y=\frac{1}{7}x+8$  

•  $y=-3x+2$  

•  $y=-7x+12$  

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5