equations of parallel and perpendicular lines review

Write the equation of the line that passes through (5, 8) and is parallel to the line y = 4x – 10.

• y = 4x + 28

• y = 4x - 12

• $y\ =\ -\frac{1}{4}x\ +\ 28$

• $y\ =\ -\frac{1}{4}x\ -\ 12$

Write the equation of the line that passes through (8, 15) and is parallel to the line 2y = -5x + 12.

•  $y\ =\ \frac{2}{5}x+35$  

•  $y\ =\ \frac{2}{5}x-5$  

•  $y=-\frac{5}{2}x+35$  

•  $y=-\frac{5}{2}x-5$  

Write the equation of the line that passes through (-4, 13) and is parallel to the line -6x + 2y = 10.

• y = 3x + 25

• y = 3x + 1

• $y\ =\ \frac{1}{3}x+25$

• $y=\frac{1}{3}x+1$

Find the equation of the line that passes through (10, 9) and is parallel to the line shown in the graph.

• $y=\frac{2}{5}x+13$

• $y=\frac{2}{5}x+5$

• $y=\frac{5}{2}x+13$

• $y=\frac{5}{2}x+5$

Write an equation of the line that passes through (2, 7) and is perpendicular to the line $y=\frac{4}{3}x+9$  

•  $y=\frac{4}{3}x+5\frac{1}{2}$  

•  $y\ =\ \frac{4}{3}x+8\frac{1}{2}$  

•  $y=-\frac{3}{4}x+5\frac{1}{2}$  

•  $y=-\frac{3}{4}x+8\frac{1}{2}$  

Write the equation of the line that passes through (14, 5) and is perpendicular to the line 2y = 7x – 16.

• $y=-\frac{2}{7}x+1$

• $y=-\frac{2}{7}x+9$

• $y=\frac{2}{7}x+1$

• $y=\frac{2}{7}x+9$

Write an equation of a line that is perpendicular to -9x + 3y = 12 and passes through (-9, 8).

• $y=\frac{1}{3}x+5$

• $y=\frac{1}{3}x+11$

• $y=-\frac{1}{3}x+5$

• $y=-\frac{1}{3}x+11$

Find the equation of the line that passes through (-20, 2) and is perpendicular to the line shown in the graph.

• $y=\frac{2}{5}x-6$

• $y=\frac{2}{5}x+10$

• $y=\frac{5}{2}x-6$

• $y=\frac{5}{2}x+10$

Two lines are parallel when...

• They have one negative and one positive slope

• They have the same b-value (y-intercept)

• They have the same slope but different b-value (y-intercept)

• They have opposite reciprocal slopes

Tags

CCSS.HSG.GPE.B.5

Two lines are perpendicular when...

• They have one negative and one positive slope

• They have the same b-value (y-intercept)

• They have the same slope but different b-value (y-intercept)

• They have opposite reciprocal slopes

Tags

CCSS.HSG.GPE.B.5