Slope from a Graph

Front

What is the definition of slope?

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 from a graph?

Back

To calculate the slope from a graph, identify two points on the line, determine the rise (change in y) and run (change in x), and use the formula: Slope = rise/run.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

Front

What is the slope of a line that falls 5 units for every 3 units it runs?

Back

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

If a line has a slope of 4/3, what does this indicate about its direction?

Back

A slope of 4/3 indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

How can you identify the slope from a graph visually?

Back

You can identify the slope visually by observing the angle of the line; steeper lines have greater absolute values of slope.

Front

What is the slope of a line that does not change in y as x changes?

Back

The slope is zero.