Parallel and Perpendicular Slopes

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) and different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that if one line has a slope of m, the other line must have a slope of -1/m.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

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 a slope of 2 is -1/2.

Front

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

Back

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

Front

If a line has a slope of 1/4, what is the slope of a line perpendicular to it?

Back

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

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

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