Equations of Parallel and Perpendicular Lines

If two lines are parallel their slopes are  ____________

• the same.
• negative reciprocals of each other.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

• y = -2x - 24
• y = -2x + 12
• y = -2x  + 24
• y = (1/2)x - 12

What slope is perpendicular to:  
m = 5/8

• -5/8
• 5/8
• -8/5
• 8/5

What slope is perpendicular to:  
m = 3

• -3
• -1/3
• 1/3
• 3

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

• y = 2x + 13

• y = 2x + 5

• y = -1/2x + 3

• y = -1/4x + 11/2

Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?

• y = 7/2x + 26

• y = 7/2x - 16

• y = 7/2x - 26

• y = 7/2x + 16

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

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