Slope practice

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

The formula for slope (m) is: m = (y2 - y1) / (x2 - x1).

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.

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

The slope of a vertical line is undefined because the change in x (run) is 0, leading to division by zero.

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

A slope of -3 indicates that the line falls steeply from left to right.

The slope of the line is 2, which means for every 1 unit increase in x, y increases by 2 units.

The slope of the line is -rac{1}{2}, indicating that for every 1 unit increase in x, y decreases by rac{1}{2} units.