Finding Slope

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

The formula to calculate slope (m) is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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

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

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

The slope is 3.

The slope is -rac{1}{2}.

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