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); their slopes are negative reciprocals of each other.

Front

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

Back

The slope of a line in slope-intercept form (y = mx + b) is the coefficient 'm'.

Front

What is the slope of a line parallel to the line with slope 3?

Back

The slope of a line parallel to a line with slope 3 is also 3.

Front

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

Back

The slope of a line perpendicular to a line with slope -2 is 1/2.

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

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

Back

To write the equation of a line parallel to a given line, use the same slope as the given line and the point through which the new line passes.

Front

What is the negative reciprocal of 4?

Back

The negative reciprocal of 4 is -1/4.

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

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.