Parallel and Perpendicular Slopes

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

If the slope of a line is m, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also m.

Front

If the slope of a line is m, what is the slope of a line perpendicular to it?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope is -3.

Front

Determine if the lines y = 4x + 1 and y = 4x - 2 are parallel, perpendicular, or neither.

Back

They are parallel because they have the same slope of 4.

Front

Determine if the lines y = 1/2x + 3 and y = -2x + 1 are parallel, perpendicular, or neither.

Back

They are perpendicular because the slopes are -2 (which is -1/(1/2)).

Front

What is the relationship between the slopes of two lines if they are neither parallel nor perpendicular?

Back

Their slopes are neither equal nor negative reciprocals.

Front

If two lines have slopes of 3/4 and 4/3, what is their relationship?

Back

They are neither parallel nor perpendicular.