Answer: A’s coordinate should be (0, -8).
Explanation:
Let’s find the difference between B and C’s coordinate, as this has to be applied to A’s coordinate too. (If B went down one unit, A and C would go down one unit too, as B is supposed to be in the middle of them.) The H and K values can represent what we do to B’s coordinates to get A.
Equation for H:
-6 + H = -3. Add 6 to both sides.
H = 3. This means that to get A’s x-value, you have to add 3 to B’s x-value.
Equation for K:
-2 + K = -5. Add 2 on both sides.
K = -3. Now, to get A’s y-value, you have to subtract 3 from B’s y-value.
A’s coordinate = B(-3 + 3, -5 - 3).
A’s coordinate = (0, -8).