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

What is the formula for calculating slope?

Back

The formula for slope (m) is: m = \frac{rise}{run}.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, where there is no vertical change as the x-values change.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where there is no horizontal change as the y-values change.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula m = \frac{rise}{run}.

Front

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

Back

The slope is \frac{3}{6} = \frac{1}{2}.

Front

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

Back

The slope is \frac{-4}{2} = -2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.