Finding Slope

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (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 does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning it has no defined rise over run.

Front

What does a slope of zero indicate?

Back

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

Front

Find the slope of the line passing through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line passing through the points (0, 0) and (5, 5).

Back

Slope = (5 - 0) / (5 - 0) = 5 / 5 = 1.

Front

Find the slope of the line passing through the points (2, 3) and (2, 7).

Back

Slope is undefined because the line is vertical.

Front

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

Back

Slope = (1 - (-1)) / (1 - (-1)) = 2 / 2 = 1.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.