Finding Slope

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 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 does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line passing through the points (-2, 3) and (4, -5)?

Back

-4/3

Front

Find the slope of the line containing the points (−6, 2) and (0, 4).

Back

1/3

Front

Find the slope of the graphed line with a rise of 1 and a run of 2.

Back

1/2

Front

What is the slope of the line with a rise of -3 and a run of 2?

Back

-3/2

Front

What is the slope of the line that is horizontal?

Back

0 (A horizontal line has a slope of 0).

Front

What is the slope of the line that is vertical?

Back

Undefined (A vertical line has an undefined slope).