Slope from a Graph

Front

What is the definition of slope in a graph?

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

How do you calculate the slope using the rise/run method?

Back

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

Front

What is the slope of a line that rises 2 units for every 3 units it runs?

Back

The slope of the line is \( \frac{2}{3} \).

Front

If a line has a slope of -5/3, what does this indicate about the line's direction?

Back

A slope of -5/3 indicates that the line is decreasing; for every 3 units it moves to the right, it moves down 5 units.

Front

What is the slope of a line that rises 4 units and runs 3 units?

Back

The slope of the line is \( \frac{4}{3} \).

Front

How do you determine 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 does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and does not rise or fall.

Front

What is the slope of a line that falls 1 unit for every 2 units it runs?

Back

The slope of the line is \( -\frac{1}{2} \).

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating slope (m) is \( m = \frac{y2 - y1}{x2 - x1} \).

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope because the run (horizontal change) is zero.