8x plus 3y equals 24 slope intercept form?

8x + 3y = 24

8x - 8x + 3y = -8x + 24

3y = - 8x + 24

3y/3 = (- 8x + 24)/3

y = -8x/3 + 24/3

y = (-8/3)x + 8 this is the slope-intercept form of the equation of the line, y = mx + b, where the slope m is -8/3 and the y-intercept b is 8.