Slopes of Lines: Parallel and Perpendicular Lines

Front

What is the slope of a line?

Back

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

Front

How do you find 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 a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If two lines are parallel, what is true about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

If two lines are perpendicular, what is true about their slopes?

Back

If two lines are perpendicular, the product of their slopes is -1.

Front

Find the slope of the line passing through the points (2, 3) and (5, 11).

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the line passing through the points (-7, -13) and (1, -5).

Back

The slope is 1.

Front

Find the slope of the line passing through the points (-1, -11) and (-6, -7).

Back

The slope is 4/5.

Front

Find the slope of the line with the equation y = 2x + 3.

Back

The slope is 2.