Find Slope from a graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the 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, select two points on the line, determine the vertical change (rise) and the horizontal change (run), and then use the formula: Slope (m) = 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 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 y-value changes.

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

The slope is 4/2 = 2.

Front

If a line falls 3 units and runs 1 unit, what is the slope?

Back

The slope is -3/1 = -3.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is (6-2)/(3-1) = 4/2 = 2.

Front

What is the slope of a line that goes through the points (2, 3) and (2, 5)?

Back

The slope is undefined because the x-values are the same.