Parallel and Perpendicular Lines in Systems of Equations

If two lines are parallel their slopes are  ____________

• the same.
• negative reciprocals of each other.

Are these lines parallel?
y = 12x + 4
y = 12x +14

• YES
• NO

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

• YES

• NO

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 (2,6) and is parallel to the line y = -3

• y = 12
• y = 6
• x = 12
• x = 6

Write an equation of a line that passes through the point (-2,3) and is parallel to the line x = 4

• y = -2
• y = 2
• x = 2
• x = -2

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

• the same.

• negative reciprocals of each other.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

• YES
• NO

Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13

• YES
• NO

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