Parallel and Perpendicular Lines

What is the best description of the horizontal bars in the photo?

• Parallel

• Perpendicular

• Intersecting

• Skew

A parallelogram is a four-sided figure whose opposite sides are parallel and equal in length. Juan is drawing parallelogram PQRS on a coordinate plane. The parallelogram has coordinates P(-2, 0), Q(2, 3), and S(1, -1).

Which of the following coordinates should Juan use for point R?

• (-5, 2)

• (5, 2)

• (2, 5)

• (5, -2)

Which equation is an equation of a line perpendicular to y = 5x + 7?

• $y=-5x\ +7$

• $y=5x+13$

• $y=\frac{1}{5}x\ -4$

• $y=-\frac{1}{5}x\ +\ 7$

What is the slope of a line perpendicular to 5x - 3y = 9?

• $-\frac{5}{3}$

•  $\frac{3}{5}$  
  

• $\frac{5}{3}$

•  $-\frac{3}{5}$ 

What is the y-intercept of the line that is parallel to the line 2x - y = 3 and passes through the point (-3,4)?

• -11

• -6

• -5

• 10

Which of the following equations is parallel to 

 $y=\frac{3}{7}x\ +2$ ? 

•  $y=-\frac{7}{3}x+5$  

•  $3x+7y=14$  

•  $3x-7y=7$  

•  $\frac{3}{7}x-2y=5$  

What is the slope of a line perpendicular to y = -3x + 12?

• -3

• $-\frac{1}{3}$

• $\frac{1}{3}$

• 3

Create the equation for a line parallel to y = -2x + 3 that passes through (-3, -5).

• $4x+2y=11$

• $y=\frac{1}{2}x\ -11$

• $y=-2x-1$

• $4x\ +\ 2y\ =\ -22$

In the rectangular prism shown below, segment GH is parallel to segment EF. If the equation of GH is 6y - x = 12, could the equation of segment EF be 4 = y + 6x.

• YES, because EF and GH have the same slope.

• YES, because the slopes of EF and GH are opposite reciprocals.

• NO, because the slopes of EF and GH are opposite reciprocals.

• NO, because EF ad GH have the same slopes.

Line segment AB has points (0, 8) and (6, 10). Write the equation of a line, in standard form, that is parallel to segment AB and has a y-intercept of -4.

• $x-3y=12$

• $x-3y=-12$

• $x-3y=4$

• $3x-y=12$