Parallel and Perpendicular Lines

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are identical.

Front

How can you determine if two linear equations are parallel, perpendicular, or neither?

Back

If the slopes are identical, they are parallel. If the slopes are opposite reciprocals, they are perpendicular. If neither condition is met, they are neither.

Front

What is the equation of a line that is parallel to y = 5x - 3 and passes through the point (0, 4)?

Back

The equation is y = 5x + 4.

Front

What is the equation of a line that is perpendicular to y = -\frac{1}{2}x + \frac{5}{2} and passes through the point (-4, 5)?

Back

The equation is y = 2x + 13.

Front

Define parallel lines in the context of slopes.

Back

Parallel lines have the same slope.

Front

Define perpendicular lines in the context of slopes.

Back

Perpendicular lines have slopes that are opposite reciprocals.

Front

If the slope of one line is 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -\frac{1}{3}.

Front

If two lines have slopes of 2 and -\frac{1}{2}, what can be said about their relationship?

Back

The lines are perpendicular.

Front

What is the slope of a line parallel to the line represented by the equation y = -4x + 7?

Back

The slope of the parallel line is -4.