Slope intercept form is y=mx+b so to rewrite it in that, all you do is solve for y 1/2x - 3y = 16 subtract 1/2x from both sides. -3y = 16 - 1/2x divide both sides by -3. y = (16 - 1/2x)/-3 y = -16/3 + 1/6x rearrange the terms so its in y=mx+b y = 1/6x - 16/3