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 they intersect at a right angle.

Front

What are negative reciprocals?

Back

Negative reciprocals are two numbers whose product is -1. For example, if one slope is 2, its negative reciprocal is -1/2.

Front

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

Back

The slope of a line parallel to it would also be 3.

Front

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

Back

The slope of a line perpendicular to it would be 1/4, which is the negative reciprocal of -4.

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope of the line is 5.

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

What is the slope of a line parallel to the line y = -1/3x + 1?

Back

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

Front

What is the slope of a line perpendicular to the line y = 2x - 3?

Back

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