Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in x as y changes.

Front

What is the variable used to represent slope in equations?

Back

The variable used to represent slope is 'm'.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change), and use the formula m = \frac{rise}{run}.

Front

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

Back

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

Front

If a line falls 3 units and runs 1 unit, what is the slope?

Back

The slope is m = \frac{-3}{1} = -3.