2.2 Slopes of Parallel and Perpendicular Lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

What is the slope of parallel lines?

Back

Parallel lines have the same slope. If two lines are parallel, their slopes are equal.

Front

What is the slope of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other. If one line has a slope of 'm', the other line's slope will be '-1/m'.

Front

How do you calculate the slope between 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 the line passing through the points (2, 3) and (6, 11)?

Back

The slope is 2.

Front

What is the slope of the line passing through the points (-1, 5) and (3, -3)?

Back

The slope is -2.

Front

If a line has a slope of -5/4, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is 4/5.

Front

Which of the following pairs of slopes are perpendicular: 2 and 2, -1 and 1, 3 and -1/3, 0 and 1?

Back

The slopes 3 and -1/3 are perpendicular.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.