4. Find Slope from Two Points

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

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

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

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

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

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

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

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

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

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