Determine Parallel and Perpendicular Lines

Front

What is the slope of a line perpendicular to a line with a slope of -5?

Back

The slope of a line perpendicular to a line with a slope of -5 is 1/5.

Front

What is the condition for two lines to be parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the condition for two lines to be perpendicular?

Back

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

Front

Write the equation of a line that is perpendicular to y = 4x + 2 and passes through the point (1, 3).

Back

y = -1/4x + 13/4.

Front

Determine if the lines y = 3x + 1 and y = 3x - 5 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

If a line has a slope of 2, what is the slope of a line that is perpendicular to it?

Back

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

Front

What is the slope of the line passing through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

Are the lines y = -2x + 1 and y = 1/2x - 3 perpendicular?

Back

Yes, they are perpendicular.

Front

If two lines have slopes of 5 and -1/5, what can be said about their relationship?

Back

They are perpendicular.

Front

Write an equation for a line parallel to y = -3x + 4 that passes through the point (2, 1).

Back

y = -3x + 7.