Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

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

Front

What is the definition of 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 two lines have the same slope, what can be said about their relationship?

Back

The two lines are parallel.

Front

What is the slope of a line that is parallel to a line with a slope of 2?

Back

The slope of the parallel line is also 2.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of two lines if they are perpendicular?

Back

The product of their slopes is -1.

Front

If a line has a slope of -4, what is the slope of a line that is parallel to it?

Back

The slope of the parallel line is also -4.

Front

If a line has a slope of 1/2, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -2.

Front

What is the slope of a line that is parallel to a line with a slope of -7/3?

Back

The slope of the parallel line is also -7/3.