ORIGINAL SLOPE (PRICES) AND NEW INDIFFERENCE CURVE. HERE YOU WANT TO DRAW YOUR TANGENCY ON THE NEW INDIFFERENCE CURVE. With equivalent variations, the its the income we take (via price increasing) or the income we give (via price decreasing) to a consumer so that they attain a new indifference curve facing the original relative prices (meaning the same slope). We say the income variation is equivalent then, so the price change. CV AND EV are not always equal unless its on a quasi liner preference.