We have to show the equation in the standard form and to choose the correct answer. Equation in the standard form is : Ax + By = C. We will start from: 8 - 4 * ( x - y )= - 6 x + 6 ; 8 - 4 x + 4 y = - 6 x + 6 ; - 4 x + 4 y + 6 x = 6 - 8; 2 x + 4 y = - 2. Answer: The equation in the standard form is C. 2 x + 4 y = - 2.