Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a 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 (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 is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes; the slope is 0.

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where there is no change in x; the slope cannot be calculated.

Front

If a line goes down from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

If a line goes up from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

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

Back

The slope is 3/2.

Front

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

Back

The slope is -5/3.