Slope Formula Practice

Front

What is the formula for calculating the slope between two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, showing a direct relationship.

Front

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

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, showing an inverse relationship.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no change in the y-coordinate as the x-coordinate changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same, leading to division by zero in the slope formula.

Front

How do you find the slope between the points (1, 1) and (4, 3)?

Back

Using the slope formula: m = (3 - 1) / (4 - 1) = 2 / 3.

Front

How do you find the slope between the points (-2, 4) and (10, -2)?

Back

Using the slope formula: m = (-2 - 4) / (10 - (-2)) = -6 / 12 = -1/2.

Front

What is the slope between the points (10, 0) and (-2, 4)?

Back

Using the slope formula: m = (4 - 0) / (-2 - 10) = 4 / -12 = -1/3.

Front

What is the slope between the points (-7, 8) and (-7, 5)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

What is the slope between the points (-1, 9) and (2, 3)?

Back

Using the slope formula: m = (3 - 9) / (2 - (-1)) = -6 / 3 = -2.