Finding Slope

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, 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 x increases, y decreases, meaning the line falls from left to right.

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 there is no change in x as y changes.

Front

Find the slope of the line through the points (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Find the slope of the line through the points (1, 2) and (1, 5).

Back

Slope is undefined because the x-coordinates are the same.

Front

Find the slope of the line through the points (3, 4) and (6, 10).

Back

Slope = (10 - 4) / (6 - 3) = 6 / 3 = 2.

Front

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Front

If a line has a slope of 3, what does this mean in terms of rise and run?

Back

For every 3 units of rise, there is a 1 unit run.