Slope & Slope Formula

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 (vertical change) divided by the change in x (horizontal change).

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

Find the slope given the points (-2,-9) and (-1,-3).

Back

6

Front

Find the rate of change between two points.

Back

The rate of change is the same as the slope and can be calculated using the slope formula.

Front

Find the slope given the points (1,4) and (5,9).

Back

5/4

Front

Find the slope given the points (2, −7) and (−1, 6).

Back

-13/3

Front

What is the slope of the line that passes through the points (2, 1) and (8, 9)?

Back

4/3

Front

What does a positive slope indicate?

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?

Back

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

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.