Slope from a Graph

Front

What is the definition of 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 is a positive slope?

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 is a negative slope?

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 zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no horizontal change as the x-value changes.

Front

How do you calculate slope using rise/run?

Back

Slope is calculated by dividing the rise (the change in y) by the run (the change in x): Slope = rise/run.

Front

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

Back

Front

If a line falls 2 units and runs 1 unit, what is the slope?

Back

The slope is -2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.