The distance between the points (-4,-7) and (5,5) can be calculated using the distance formula. The distance formula is d = square root((x2 - x1)^2 + (y2 - y1)^2).
Step 1: Calculate (x2 - x1), which is (5 - -4), or 9.
Step 2: Calculate (y2 - y1), which is (5 - -7), or 12.
Step 3: Square both differences by raising them to the power of 2. 9^2 = 81, and 12^2 = 144.
Step 4: Add the squared differences together to get 81 + 144, or 225.
Step 5: Take the square root of the sum to get the total distance. The square root of 225 is 15.
Therefore, the distance between the points (-4,-7) and (5,5) is 15.