Activity 08: Equations of Parallel & Perp. Lines

If two lines are parallel their slopes are  ____________

• the same.

• negative reciprocals of each other.

If two lines are perpendicular to each other their slopes are ____________

• the same.

• negative reciprocals of each other.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

• y = 1/5x - 3

• y= 5x - 7

• y = 5x + 4

• y = -5x - 3

Which of the following lines goes through the point (0, -7) and is perpendicular to y = 5x - 3?

• y = 5x -7

• y = 1/5x -3

• y = -5x -3

• y = -1/5x -7

Given the line y=(2/3)x-3 , write the equation of a line parallel to it that passes through the point (4, -1)

• y = 2/3x - 3

• y = 2/3x - 11/3

• y = 2/3x - 4

• y = 2/3x - 5/3

Given the line y=(2/3)x-3, write the equation of a line perpendicular to it that passes through the point (4, -1)

• y = -3/2x - 7

• y = 2/3x + 4

• y = 2/3x - 1

• y = -3/2x + 5

Write an equation of a line perpendicular to
y = 2x + 3 through (-2, 4)

• y = -3/2x + 3

• y = 3/2x + 3

• y = -1/2x + 3

• y = 3x - 3/2

Write an equation of the line passing through the point (6, -2) that is parallel to the line
y = 4x - 11.

• y = -¹/₄x - 2

• y = -¹/₄x - 26

• y = 4x - 2

• y = 4x - 26

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

• y = (-3/5)x + 2

• y = (-3/5)x -2

• y = (3/5)x + 2

• y = (5/3) + 2

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

• y = (-1/3)x - 1

• y = (1/3)x - 2

• y = -3x + 12

• y = 3x - 1