What is the slope m?

Answer 1

The slope ( m ) of a line in a coordinate system is a measure of its steepness and is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line. Mathematically, it is expressed as ( m = \frac{\Delta y}{\Delta x} ), where ( \Delta y ) is the difference in the y-values and ( \Delta x ) is the difference in the x-values. A positive slope indicates that the line rises as it moves from left to right, while a negative slope indicates that it falls. A slope of zero represents a horizontal line, and an undefined slope corresponds to a vertical line.