Slope Formula

Front

What is the slope formula?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope between the points (2, 3) and (5, 7).

Back

m = (7 - 3) / (5 - 2) = 4 / 3.

Front

Calculate the slope between the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-coordinates are the same.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

Find the slope given the points (4, 7) and (3, 2).

Back

m = (2 - 7) / (3 - 4) = -5 / -1 = 5.

Front

Find the slope given the points (5, 9) and (1, 4).

Back

m = (4 - 9) / (1 - 5) = -5 / -4 = 5/4.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.