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.

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 negative reciprocals of each other.

Front

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

Back

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

Front

What are negative reciprocals?

Back

Negative reciprocals are two numbers whose product is -1. For example, 2 and -1/2 are negative reciprocals.

Front

If two lines have slopes of 5 and -5, are they parallel, perpendicular, or neither?

Back

They are neither parallel nor perpendicular because their slopes are not negative reciprocals.

Front

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

Back

The slope of the line is -4.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is horizontal and does not rise or fall.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.