Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically 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. This means that one slope is the negative reciprocal of the other.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 5?

Back

The slope of the line is 4.

Front

Given the lines y = 3x + 2 and y = 3x - 3, are they parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope of 3.

Front

What is the slope of a line that is perpendicular to a line with a slope of -6/5?

Back

The slope of the perpendicular line is 5/6.

Front

Which of the following lines is perpendicular to y = x + 9? y = -x + 8, y = 1/2x + 9, y = -1/2x + 9, y = x - 9?

Back

y = -x + 8 is perpendicular.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.