Slope from Graphs

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change as the x-value remains constant.

Front

How do you calculate slope using two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the formula for slope from a graph?

Back

Slope = rise over run, where 'rise' is the vertical change and 'run' is the horizontal change.

Front

If a line rises 3 units and runs 4 units, what is the slope?

Back

The slope is 3/4.

Front

If a line falls 2 units and runs 5 units, what is the slope?

Back

The slope is -2/5.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.