Parallel and Perpendicular Equations

Slopes of parallel lines are...

• opposite reciprocals

• the same

• opposites

• always 7

Slopes of perpendicular lines are...

• opposite reciprocals

• the same

• opposite

• always 7

• the same line

• perpendicular

• neither

• parallel

• Parallel

• Perpendicular

• Neither

• Parallel

• Perpendicular

• Neither

Write an equation for a line perpendicular to

y = -5x + 3 through (-5, -4)

• y = -3x + 1/5

• y = -3x - 1/5

• y = 1/5x - 3

• y = -1/5x - 3

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

HINT: PLUG (-1,4) AND THE PARALLEL SLOPE INTO y=mx+b. SOLVE FOR b AND REWRITE THE EQUATION IN y=mx+b.

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4

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

Which is the equation of the line that is PARALLEL to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

HINT: PLUG (0,-2) AND THE PARALLEL SLOPE INTO y=mx+b. SOLVE FOR b AND REWRITE THE EQUATION IN y=mx+b.

• y = 5x - 2

• y = -2x + 7

• y = 5(x - 2)

• y = -1/5x - 2