Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run (change in y over change in x).

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, meaning their slopes are opposite reciprocals.

Front

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

Back

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

Front

If the slope of a line is -3/5, what is the slope of a line that is parallel to it?

Back

The slope of a line that is parallel to a line with a slope of -3/5 is also -3/5.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line 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

You can determine if two lines are parallel by checking if their slopes (m) are equal.

Front

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

Back

You can determine if two lines are perpendicular by checking if the product of their slopes equals -1.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

Which of the following lines is parallel to y = 3x + 2? y = 3x - 5, y = -3x + 2, y = 2x + 1

Back

y = 3x - 5 is parallel to y = 3x + 2.