4.3 Writing 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 PARALLEL to that passes through the point (3, 1).  $y=-\frac{5}{2}x+10$  

•  $y=-\frac{5}{2}x\ +\ 6$  

•  $y\ =-\frac{5}{2}x+\frac{17}{2}$  

•  $y=\frac{2}{5}x+6$  

•  $y=\frac{2}{5}x+\ 8$  

Tags

CCSS.HSG.CO.A.1

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

Select the two lines that are parallel.

• $y=4x-2$

• $y=-\frac{1}{4}x$

• $y=-4x+1$

• None are parallel.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Select the two lines that are parallel.

• $y=5x-3$

• $x\ +\ 5y=2$

• $-10y-2x=0$

• None are parallel

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Select the two lines that are perpendicular.

• $y=4x-2$

• $y=-\frac{1}{4}x$

• $y=-4x+1$

• None are perpendicular.

Tags

CCSS.8.EE.B.6

Select the two lines that are perpendicular.

• $2x+6y=-3$

• $-1.5y+4.5x=6$

• $y=-4x+1$

• None are perpendicular.

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

If two lines are parallel their slopes are  ____________

• the same.
• negative reciprocals of each other.

Tags

CCSS.8.EE.B.6

Are these lines parallel?
y = 12x + 4
y = 12x +14

• YES
• NO

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.5