Parallel and Perpendicular Lines (Slope-Intercept Form)

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

Given the equations y = 6x + 2 and y = -6x + 2, are these lines parallel, perpendicular, or neither?

Back

Neither.

Front

If two lines have slopes of 3 and -1/3, what is their relationship?

Back

They are perpendicular.

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 does it mean for two lines to be perpendicular?

Back

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

Front

If the slope of one line is 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 2.

Front

If the slope of one line is 4, what is the slope of a line perpendicular to it?

Back

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

Front

What is the slope-intercept form of a line?

Back

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

Front

How can you determine if two lines are parallel from their equations?

Back

If the coefficients of x in both equations are the same, the lines are parallel.