Not on your list, but an easy way is .. a) swap coefficients of x and y, negating one. (Now you have 2x -3y.) .. b) set any constant term to zero (now you have 2x -3y = 0) .. c) translate the line to the point (5, 2) by substituting x ⇒ x-5, y⇒ y-2 2(x -5) -3(y -2) = 0
The way you've been taught, selection C is the proper choice.