The slope between the points (5,5) and (1, -2) is 7/4 A line parallel to to that would also be 7/4 (m = 7/4)
Use the Point-Slope formula to find k: Let (6,6) = (x, y) and let (-3, k) = (x1, y1) y - y1 = m(x - x1) 6 - k = (7/4)(-3 - 6) 6 - k = (7/4)(-9) 6 - k = -63/4 6 + 63/4 = k 24/4 + 63/4 = k 87/4 = k