Slope from a Graph 1

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you calculate the slope from a graph?

Back

To calculate the slope from a graph, select 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, showing 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, showing a downward trend.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x (run = 0), which makes the slope calculation impossible.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning there is no change in y (rise = 0), indicating that the y-value remains constant regardless of x.

Front

If a line rises 7 units for every 5 units it runs, what is the slope?

Back

The slope is 7/5.

Front

If a line falls 5 units for every 4 units it runs, what is the slope?

Back

The slope is -5/4.

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.