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 but different y-intercepts.

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

If two lines have the same slope, they are parallel.

Front

What is the slope of a line parallel to the line represented by the equation y = 3x + 4?

Back

The slope of a line parallel to y = 3x + 4 is 3.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and change the y-intercept.

Front

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

Back

The slope of a line perpendicular to y = -2x + 5 is 1/2.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

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

Back

A line with a slope of 0 is a horizontal line.

Front

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

Back

A line with an undefined slope is a vertical line.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0, where A, B, and C are constants.