Finding Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness of a line, defined as the ratio of vertical change (rise) to horizontal change (run).

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 rise by 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change (run) and division by zero is not possible.

Front

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

Back

Front

If a line falls 3 units and runs 6 units, what is the slope?

Back

Front

What is the formula for slope?

Back

Front

What does a slope of 1 mean?

Back

A slope of 1 means that for every 1 unit increase in x, there is a 1 unit increase in y, resulting in a 45-degree angle line.