Slope & Slope Formula

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are two points on a line.

Front

Calculate the slope between the points (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

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 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.

Front

Find the slope given the points (4, 5) and (6, 9).

Back

m = (9 - 5) / (6 - 4) = 4 / 2 = 2.

Front

If the slope of a line is 3, what does this mean?

Back

This means that for every 1 unit increase in x, y increases by 3 units.

Front

What does 'm' represent in the slope formula?

Back

'm' represents the slope of the line.

Front

Find the slope between the points (-1, -2) and (2, 1).

Back

m = (1 - (-2)) / (2 - (-1)) = 3 / 3 = 1.