Equations of Parallel and Perpendicular Lines

Front

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

Back

negative reciprocals of each other.

Front

Write an equation for a line perpendicular to y = -5x + 3 through (-5, -4).

Back

y = \frac{1}{5}x - 3

Front

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

Back

y = \frac{1}{2}x + 2

Front

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

Back

y = -\frac{1}{3}x - 1

Front

If two lines are parallel, their slopes are ____________

Back

the same.

Front

Definition of parallel lines in terms of slope.

Back

Two lines are parallel if they have the same slope.

Front

Definition of perpendicular lines in terms of slope.

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a line perpendicular to a line with slope 4?

Back

-\frac{1}{4}.

Front

Write the slope-intercept form of a line with slope -3 that passes through the point (1, 2).

Back

y = -3x + 5.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope = \frac{y2 - y1}{x2 - x1}.