Equations of Parallel and Perpendicular Lines

Front

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

Back

The slope of a line that is perpendicular to a line with slope 4 is -1/4.

Front

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

Back

The slope of a line that is parallel to a line with slope -2 is also -2.

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.

Front

How do you find the y-intercept of a line given its equation in slope-intercept form?

Back

The y-intercept can be found directly from the equation y = mx + b, where b is the y-intercept.

Front

What is the equation of a line in slope-intercept form?

Back

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

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 relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

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

Write the equation of a line that is parallel to y = 2x + 3 and has a y-intercept of 5.

Back

The equation is y = 2x + 5.