Final answer:
To find the other endpoint of a line segment when given the midpoint and one endpoint, you can use and rearrange the midpoint formula. In this instance, the calculations show that the other endpoint coordinates are (0, -25).
Step-by-step explanation:
To find the other endpoint of a line segment when given the midpoint and one endpoint, you can use the midpoint formula M = ((x1 + x2)/2, (y1 + y2)/2), where M is the midpoint, (x1, y1) and (x2, y2) are the endpoints. You can then rearrange the formula to solve for the unknown endpoint if you have the other endpoint and the midpoint. In this case, the given midpoint is (-7, -16), and one given endpoint is (-14, -7). To find the coordinates of the other endpoint (x2, y2), we can set up the following equations based on the midpoint formula: -7 = (x2 - 14)/2, -16 = (y2 - 7)/2. Solving the first equation for x2 gives us x2 = 2(-7) + 14 = -14 + 14 = 0. Solving the second equation for y2 gives us y2 = 2(-16) + 7 = -32 + 7 = -25. Therefore, the other endpoint is (0, -25).