Parallel and Perpendicular Slopes

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is the slope of a line parallel to y = 4x + 1?

Back

The slope is 4.

Front

What is the slope of a line perpendicular to y = -3x + 5?

Back

The slope is 1/3.

Front

If two lines have slopes of 2 and -1/2, what can we say about their relationship?

Back

The lines are perpendicular.

Front

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

Back

The slope is 5.

Front

If a line has a slope of 0, what type of line is it?

Back

It is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

It is a vertical line.

Front

What are opposite reciprocals?

Back

Opposite reciprocals are two numbers whose product is -1, such as 2 and -1/2.

Front

Given the equation y = 1/4x + 3, what is a parallel line's equation?

Back

y = 1/4x - 5 (same slope, different y-intercept).