What is the slope of the equation 5x plus 4y equals 8?

The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other Words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line is

For equation:
5x + 4y = 8

the two intercepts are: (0,2) and (8/5,0)


The slope = (2-0)/(0-8/5) = - 10/8 = - 5/4