x=5 and left and right transitions have to do with x. When going to the left it is negative and going to the right is positive. So 9 units to the left means 5-9 which is -4 which equals x the first part of your answer. Now y=-7 and up and down transitions have to do with y. When going up it's positive and when going down it's negative. So 5 units down means -7-5 which is -12 which equals y the second part of your answer.
