Slope / 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) over 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 parallel to a line with slope m?

Back

The slope of a line parallel to a line with slope m is also m.

Front

What is the slope of a line perpendicular to a line with slope m?

Back

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

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.

Front

If a line has a slope of 3/4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -4/3.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

If a line has a slope of -2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is -2.

Front

What is the slope of a line that passes through the points (0, 0) and (5, 5)?

Back

The slope is 1, calculated as (5 - 0) / (5 - 0).