4.2 Finding Slope from a Graph

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 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 then divide the rise by the 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 does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope (m) is calculated as (7-3)/(4-2) = 4/2 = 2.

Front

If a line has a slope of -5/4, what type of slope is it?

Back

It is a negative slope.

Front

If a line is horizontal, what is its slope?

Back

The slope is zero.

Front

If a line is vertical, what is its slope?

Back

The slope is undefined.