The point slope form is defined that the difference in the y-axis coordinate between two points y - y 1 on a line is proportional to the difference in the x-axis coordinate points x - x 1 and the proportionality constant m is the point slope of the straight line. The variable m is the slope of the line. M y y 1 x x 1 m dfracy - y_1x - x_1 m x x 1 y y 1.
The standard point slope formula looks like this.
Have a play with it first move the point try different slopes. To do that we just multiply both sides times X minus four. Y y1 mx x1 y y 1 m x x 1. Y y 1 m x x 1 y - y_1 dfracmx - x_1 y y 1 x x 1 m The above equation can be transformed into the slope of a line formula as follow.