4. Find Slope from Two Points

Front

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

Back

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

Front

How do you find the slope between the points (5, 10) and (8, 12)?

Back

Using the formula: m = (12 - 10) / (8 - 5) = 2 / 3.

Front

What is the slope of the line that passes through the points (6, 7) and (4, 2)?

Back

The slope is calculated as m = (2 - 7) / (4 - 6) = 5 / 2.

Front

What does it mean if the slope of a line is 0?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

How do you find the slope between the points (-1, -9) and (-4, -7)?

Back

Using the formula: m = (-7 - (-9)) / (-4 - (-1)) = 2 / 3, but since the points are in the opposite quadrants, the slope is -2/3.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in the x-value as the y-value changes.

Front

How do you find the slope between the points (4, -3) and (7, -3)?

Back

Using the formula: m = (-3 - (-3)) / (7 - 4) = 0, indicating a horizontal line.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How can you determine if two points create a vertical line?

Back

If the x-coordinates of both points are the same, the line is vertical, and the slope is undefined.

Front

What is the slope of the line that passes through the points (5, -2) and (5, -7)?

Back

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