Finding Slope From Two Points

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

How do you calculate the slope from 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 there is no change in x (x2 - x1 = 0).

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y (y2 - y1 = 0).

Front

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

Back

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

Front

Find the slope of the line through the points (0, 0) and (4, 8).

Back

Slope = (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

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

Back

Slope is undefined because the x-coordinates are the same (2 - 2 = 0).

Front

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

Back

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