Parallel & Perpendicular Lines through a given point

Which of the following equations are parallel to y=7x+4? (Check all that apply)

• y=7x+17

• y=-7x-5

• $y=\frac{1}{7}x+5$

• $y=-\frac{1}{7}x-3$

• y-1=7(x+5)

Tags

CCSS.HSG.GPE.B.5

Which of the following equations are perpendicular to y=-4x-2? (Check all that apply)

• $y=-\frac{1}{4}x+9$

• y+2=-4(x+11)

• $y=\frac{1}{4}x+17$

• $y-10=\frac{1}{4}\left(x-2\right)$

• y=4x+10

Tags

CCSS.HSG.GPE.B.5

Determine the equation of a line perpendicular to   $y=-\frac{1}{5}x+8$ and going through the point (5, 10), in slope-intercept form.

• y=5x+35

• y=5x-15

• y=-5x-35

• y=-5x+15

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

• $y=\frac{1}{3}x-3$

• $y=-\frac{1}{3}x-9$

• $y=\frac{1}{3}x-1$

• $y=-3x-9$

Tags

CCSS.HSG.GPE.B.5

Which of the following shows an equation of a line parallel to  $y=3x+\frac{7}{2}$  and going through point (-4, -5), in slope-intercept form?

• y=3x+7

• y=-3x-7

• y=3x-17

• y=-3x+17

• y=3x-7

Tags

CCSS.HSG.GPE.B.5

Determine the equation of a line perpendicular to  $\left(y-2\right)=-\frac{3}{4}\left(x+10\right)$  and goes through the point (4, -2), in point-slope form?

•  $y+2=\frac{4}{3}\left(x-4\right)$  

•  $y-2=\frac{4}{3}\left(x+4\right)$  

•  $y+2=-\frac{4}{3}\left(x-4\right)$  

•  $y-2=-\frac{3}{4}\left(x+4\right)$  

•  $y+2=-\frac{3}{4}\left(x-4\right)$  

Tags

CCSS.HSG.GPE.B.5

Determine the equation of a line perpendicular to 
 $\left(y+5\right)=\frac{3}{7}\left(x+12\right)$  and goes through the point (-4, 8), in point-slope form?

•  $y+4=-\frac{7}{3}\left(x+8\right)$  

•  $y+4=-\frac{7}{3}\left(x-8\right)$  

•  $y+8=-\frac{7}{3}\left(x-4\right)$  

•  $y-8=-\frac{3}{7}\left(x-4\right)$  

•  $y-8=-\frac{7}{3}\left(x+4\right)$  

Tags

CCSS.HSG.GPE.B.5

Determine the equation of a line perpendicular to 
   $\left(y-1\right)=2\left(x+17\right)$ and goes through the point (-10, 8), in slope-intercept form?

•  $y=-\frac{1}{2}x-13$  

•  $y=-2x+3$  

•  $y=\frac{1}{2}x+3$  

•  $y=-\frac{1}{2}x+3$  

•  $y=-\frac{1}{2}x-13$  

Tags

CCSS.HSG.GPE.B.5

Write in the equation of the line parallel to y=5x+3 and going through (1, 6) in point-slope form. [Do not include spaces in your answer]

Tags

CCSS.HSG.GPE.B.5

Write in the equation of the line perpendicular to $y=-\frac{1}{2}x+1$   and going through (-4,-1) in slope-intercept form. [Do not include spaces in your answer]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2