Parallel and perpendicular slopes

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are identical.

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you find the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

Back

The slope is 2.

Front

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

Back

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

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/3.

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

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

Back

Two lines are parallel if their slopes are equal.