Finding Equations of Parallel and Perpendicular Lines

Determine whether the lines with the given slopes are parallel, perpendicular or neither.

• m₁ = 10/12 & m₂ = 5/6 is neither
• m₁ = 10/12 & m₂ = 5/6 is parallel
• m₁ = 10/12 & m₂ = 5/6 is perpendicular
• m₁ = 10/12 & m₂ = 5/6 is vertical

Determine whether the lines with the given slopes are parallel, perpendicular or neither.

• m₁ = 10/12 & m₂ = 5/6 is neither
• m₁ = 10/12 & m₂ = 5/6 is parallel
• m₁ = 10/12 & m₂ = 5/6 is perpendicular
• m₁ = 10/12 & m₂ = 5/6 is vertical

Determine whether the lines with the given slopes are parallel, perpendicular or neither.

• m₁ = -4 & m₂ = 1/4 is neither
• m₁ = -4 & m₂ = 1/4 is parallel
• m₁ = -4 & m₂ = 1/4 is perpendicular
• m₁ = -4 & m₂ = 1/4 is vertical

Determine whether the lines with the given slopes are parallel, perpendicular or neither.

• m₁ = -3 & m₂ = 3 is neither
• m₁ = -3 & m₂ = 3 is parallel
• m₁ = -3 & m₂ = 3 is perpendicular
• m₁ = -3 & m₂ = 3 is horizontal

Determine whether the lines with the given slopes are parallel, perpendicular or neither.

• m₁ = 1/2 & m₂ = -2 is neither
• m₁ = 1/2 & m₂ = -2 is parallel
• m₁ = 1/2 & m₂ = -2 is perpendicular
• m₁ = 1/2 & m₂ = -2 is horizontal

The equation of the line is y = 3x - 2.  Write the equation of a that goes through the point (1, 4) and parallel.

• -3x - y = -1
• 3x - y = -1
• 3x + y = 1
• -3x + y = 1

The equation of the line is 3x + 4y = 12.  Write the equation of a that goes through the point (-6, 2) and perpendicular.

• 4x + 3y = 30
• 4x - 3y = 10
• 4x - 3y = -30
• 4x + 3y = -10

Determine the equation of a line perpendicular to the x-axis that passes through the point (4, -2). 

• y = -2 and slope = 0
• y = -2 and slope = undefined
• x = 4 and slope = 0
• x = 4 and slope = undefined

Determine the equation of a line parallel to the x-axis that passes through the points (-4, 1).

• y = 1 and slope = 0
• y = 1 and slope = undefined
• x = -4 and slope = 0
• x = -4 and slope = undefined

Determine the equation of a line parallel to the y-axis that passes through the points (-5, -3).

• y = -3 and slope = 0
• y = -3 and slope = undefined
• x = -5 and slope = 0
• x = -5 and slope = undefined