#3.5 Equations of Parallel and Perpendicular Lines

In a coordinate plane, two distinct nonvertical lines are parallel if and only if they have ________________.

• the same slope

• negative reciprocal slopes

• reciprocal slopes

• slopes with opposite signs

Tags

CCSS.HSG.GPE.B.5

In a coordinate plane, two distinct nonvertical lines are perpendicular if and only if they have ________________.

• the same slope

• negative reciprocal slopes

• reciprocal slopes

• slopes with opposite signs

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Determine whether the lines are parallel, perpendicular, or neither.

• parallel

• perpendicular

• neither

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

Determine whether the lines are parallel, perpendicular, or neither.

• parallel

• perpendicular

• neither

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

Write the equation of a line passing through the point, parallel to the given line.

• $y=2x+1$

• $y=-\frac{1}{2}x-5$

• $y=2x+3$

• $y=-\frac{1}{2}x+2$

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line passing through the point, parallel to the given line.

• $y=-\frac{1}{4}x+3$

• $y=\frac{1}{4}x-7$

• $y=4x+3$

• $y=-4x-7$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Write the equation of a line passing through the point, PERPENDICULAR to the given line.

•  $y=3x+3$ 

•  $y=-3x+3$ 

•  $y=\frac{1}{3}x-\frac{11}{3}$ 

•  $y=-\frac{1}{3}x+\frac{11}{3}$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Write the equation of a line passing through the point, PERPENDICULAR to the given line.

• $y=-3x-2$

• $y=-3x+2$

• $y=\frac{1}{3}x+4$

• $y=\frac{1}{3}x+\frac{2}{3}$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Use the diagram to find the FALSE statement.

• $a\parallel b$
  

• $b\perp c$

• $a\perp c$

• $c\parallel d$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Given $l_1\parallel l_2$  and  $l_1\perp l_3$  , what do you know about the slopes of  $l_2$  and  $l_3$  ?

• The slopes are the same.

• The slopes are negative reciprocals

• There is not enough information to answer this question.

Tags

CCSS.HSG.GPE.B.5