Slope intercept form means that you have to solve for y. Subtract 5x from both sides 5x - 6y - 5x = 22 - 5x = -6y = 22 - 5x Then divide by -6 -6y/-6 = 22/-6 - 5x/-6 = y = -22/6 + 5x/6 You can reduce the fraction -22/6 to -11/3 y = -11/3 + 5x/6 Then swap the order of your terms so it looks nicer and you don't have a negative in front y = 5x/6 - 11/3