Parallel and Perpendicular Slopes

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are identical.

Front

What is the slope of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

If a line has a slope of m = 3/4, what is the slope of a line parallel to it?

Back

The slope of a line parallel to m = 3/4 is also 3/4.

Front

How can you determine if two lines are perpendicular?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of a line perpendicular to line A (slope 2) is -1/2.

Front

Given the equations y = 3x + 2 and y = 3x - 3, what can be said about these lines?

Back

These lines are parallel because they have the same slope of 3.

Front

What is the relationship between the slopes of two lines that intersect at a right angle?

Back

The slopes of two lines that intersect at a right angle are negative reciprocals of each other.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).