Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees).

Front

If two lines are parallel, what can be said about their slopes?

Back

Their slopes are the same.

Front

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

Back

The slope will be -1/m (the opposite reciprocal).

Front

What is the equation of a line parallel to y = 2x + 3 with a y-intercept of 4?

Back

y = 2x + 4.

Front

What is the equation of a line perpendicular to y = 1/2x - 1?

Back

y = -2x + b (where b is any y-intercept).

Front

How can you determine if two lines are parallel using their equations?

Back

Check if their slopes are equal.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Their slopes should be opposite reciprocals.

Front

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

Back

-1/4.

Front

What does it mean for two lines to intersect?

Back

They cross each other at one point.