Finding slope from two points

Front

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

Back

The formula to calculate the slope (m) is: 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 a positive slope indicate about the relationship between two points?

Back

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

Front

What does a negative slope indicate about the relationship between two points?

Back

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

Front

How do you find the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is 0.

Front

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

Back

If two points have the same y-coordinate, the slope is 0, indicating a horizontal line.

Front

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

Back

If two points have the same x-coordinate, the slope is undefined, indicating a vertical line.

Front

What is the slope of the line through the points (2, 3) and (2, 5)?

Back

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

Front

Calculate the slope of the line through the points (1, 2) and (4, 5).

Back

The slope is (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

What is the slope of the line through the points (3, 7) and (3, 1)?

Back

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