Systems of Equations Parallel and Perpendicular Lines

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

• y = 2x + 3
• y = 2x - 5
• y = 2x + 1
• y = -1/2x + 5/2

Write the equation of a line PARALLEL to y = -3x + 1 that passes through the point (2, 5).

• y = -3x + 11

• y = -3x + 17

• y = 1/3x + 13/3

• y = 3x + 11

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

• y = 1/2x + 1/2
• y = 1/2x + 2
• y = -2x + 7
• y = -2x + 8

 Write the equation of a line PERPENDICULAR to y = 4x + 3 that passes through the point (4, 1). 

• y = -1/4x + 2
• y = -1/4x + 17/4
• y = 4x + 17
• y = 4x

Write the equation of a line PARALLEL to 3x - y = 2 that passes through the point (1, 5). 

• y = 3x - 14
• y = 3x + 2
• y = 1/3x + 6
• y = 1/3x - 4

Write the equation of a line PARALLEL to 2x + y = 5 that passes through the point (-4, 3). 

• y = -2x + 11
• y = -2x - 5
• y = -2x + 2
• y = 1/2x + 5

Write the equation of a line PERPENDICULAR to 5x + 2y = 1 that passes through the point (-2, -3).

• y = 2/5x + 11/5

• y = 2/5x - 11/5

• y = -5/2x - 11/2

• y = -5/2x + 13/2

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that passes through the point (2, -3). 

• y = -5/2x - 11/2
• y = -5/2x + 2
• y = -5/2x + 8
• y = 2/5x + 19/5

Write the equation of a line PARALLEL to 5x + 2y = 1 that passes through the point (-2, -3). 

• y = -5/2x - 2
• y = -5/2x - 8
• y = -5/2x + 8
• y = 2/5x + 19/5

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

• y = 1/3x
• y = 1/3x - 2
• y = -3x + 8
• y = 1/3x + 10/3