Since the slope-intercept form is y mx b and m slope it would simply be the coefficient of x. When a linear equation is written in slope intercept form the slope of the line can easily be identified. To find the slope you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
The rise is the up distance and the run is the across distance shown in the above figure.
It can be a positive or negative value. Distance Formula gives the length of a line segment. When a linear equation is written in slope intercept form the slope of the line can easily be identified. Point the slope of the line between the two points will be equal to 2.