What formula gives the slope of a line?

The formula that gives the slope of a line is represented as (y2 - y1)/(x2 - x1). This formula calculates the slope, often denoted as "m," by finding the change in the vertical direction (the rise) over the change in the horizontal direction (the run) between two points on a line in a Cartesian coordinate system.

The numerator, (y2 - y1), represents the difference in the y-coordinates of the two points, indicating how far the line moves vertically. The denominator, (x2 - x1), shows the difference in the x-coordinates, representing the horizontal movement. Therefore, the slope indicates how steep the line is: a larger numerical value (whether positive or negative) signifies a steeper incline or decline, while a value of zero indicates a horizontal line.

In the context of the other options, the equation y = mx + b represents the equation of a line in slope-intercept form, where "m" is the slope, but it does not directly calculate the slope itself. The representation m = (y2 - y1)x is incorrect because the slope is not directly multiplied by the x-coordinate and is missing the necessary denominator for the calculation. The expression x