PQ has a length of 17 units with P(-4,7). If the x- and y-coordinates of Q are both greater than the x- and y-coordinates of P, what are possible integer value coordinates of Q? Explain.
Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, and a Pythagorean triple can be used to say the shorter leg has length
and the longer leg has length. If the shorter leg is horizontal, then Q is described by the ordered pair. If the shorter leg is vertical, then Q is described by the ordered pair