Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness 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 that the line is horizontal, meaning 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 that the line is vertical, meaning there is no horizontal change as the x-values change.

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) between them, and use the formula m = \frac{rise}{run}.

Front

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

Back

The slope is 3, calculated as m = \frac{3}{1} = 3.

Front

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

Back

The slope is -\frac{1}{2}, calculated as m = \frac{-2}{4} = -\frac{1}{2}.

Front

What variable is commonly used to represent slope?

Back

The variable commonly used to represent slope is 'm'.