Finding Slope from Graph and Two Points

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line on a graph?

Back

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

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and x does not change as y changes.

Front

Find the slope of the line passing through the points (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the line passing through the points (0, 0) and (4, 4).

Back

Slope = (4 - 0) / (4 - 0) = 1.

Front

If a line has a slope of -3, what does this tell you about the line's direction?

Back

The line descends from left to right.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope is zero.