P. 3 Slope from a Graph

Front

What is the slope of a line?

Back

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

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 and run between them, and 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.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning it has no defined rise over run.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, indicating that there is no change in y as x changes.

Front

Calculate the slope between the points (2, 3) and (5, 6).

Back

The slope is (6-3)/(5-2) = 3/3 = 1.

Front

If a line has a slope of -5/3, what type of slope is it?

Back

It is a negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.