8x - 3y = 7 ; (8, -6) -3y = 7 - 8x y = -7/3 + 8/3x y = 8/3x - 7/3 original equation given in slope intercept form (y + 6) = 8/3 (x - 8) new equation in point slope form y + 6 = 8/3x - 21 1/3 y = 8/3x - 15 1/3 new equation in slope intercept form (answer) y = 8/3x - 46/3 new equation in slope intercept form (answer)