Finding Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate slope from a graph?

Back

To calculate slope from a graph, choose two points on the line, find the vertical change (rise) and the horizontal change (run), and then divide the rise by the run (slope = rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises 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, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no vertical change as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as the x-value changes.

Front

If a line goes up from left to right, what type of slope does it have?

Back

The line has a positive slope.

Front

If a line goes down from left to right, what type of slope does it have?

Back

The line has a negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.