Writing 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

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

Write the equation of a line PARALLEL to 5x + 2y = 1 that passes through the point (-2, -3).

• $y=-\frac{5}{2}x-2$

• $y=-\frac{5}{2}x-8$

• $y=-\frac{5}{2}x+8$

• $y=\frac{2}{5}x+\frac{19}{5}$

Tags

CCSS.HSG.GPE.B.5

Write the equation of a line PERPENDICULAR to 3x + y = 1 that passes through the point (3, -1).

• $y=\frac{1}{3}x$

• $y=\frac{1}{3}x-2$

• $y=-3x+8$

• $y=\frac{1}{3}x+\frac{10}{3}$

Tags

CCSS.HSG.CO.A.1

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.HSG.GPE.B.5

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.

• $2x+6y=-3$

• $-1.5y+4.5x=6$

• $y=-4x+1$

• None are perpendicular.

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5