Slope from two points

Front

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

Back

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

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

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a slope of zero is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If two points have the same x-coordinate, what can be said about the slope of the line connecting them?

Back

The slope is undefined.

Front

If two points have the same y-coordinate, what can be said about the slope of the line connecting them?

Back

The slope is 0.

Front

Given points (x1, y1) = (2, 3) and (x2, y2) = (4, 7), what is the slope?

Back

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

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.