Slope from a Graph

Front

What is slope?

Back

Slope is the ratio of rise over run, vertical change over horizontal change, or change in y over change in x.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

Calculate the slope between the points (1, 2) and (5, 6).

Back

The slope is 4/5.

Front

Calculate the slope between the points (2, 3) and (6, 1).

Back

The slope is -4/3.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Front

What does a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount.

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by the same amount.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.