Parallel and Perpendicular equations

Front

What is the slope of a line perpendicular to a line with a slope of 2?

Back

The slope of a line perpendicular to a line with a slope of 2 is -1/2.

Front

Write the equation of a line in slope-intercept form that is parallel to y = -6x + 3 and passes through the point (-1, 4).

Back

y = -6x + 2.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

If a line has the equation y = 3x + 5, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/3.

Front

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

Back

y = -1/2x + 2.5.

Front

Determine if the lines y = -2/3x + 2 and y = 3/2x + 9 are parallel, perpendicular, or neither.

Back

They are perpendicular.

Front

What is the slope of the line y = 3x - 12?

Back

The slope is 3.

Front

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

Back

y = -2/3x + 2.

Front

If two lines have slopes m1 and m2, what is the relationship between them if they are perpendicular?

Back

m1 * m2 = -1.