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 the formula to calculate slope?

Back

The formula for slope (m) is: m = \frac{rise}{run}.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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 the x-values increase, the y-values decrease, meaning the line falls 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-values change.

Front

What does an undefined slope indicate?

Back

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

Front

How do you find the slope using rise/run?

Back

To find the slope using rise/run, identify two points on the line, calculate the vertical change (rise) and the horizontal change (run), and then divide rise by run.

Front

If a line goes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.