Final answer:
By applying the midpoint formula and solving the given equations, we find the coordinates of the unknown endpoint Q to be (7, 27).
Step-by-step explanation:
The problem given asks to solve using the midpoint rule with point P(7,-9) and midpoint M(7,9). We know that the midpoint M of a line segment with endpoints P(x1, y1) and Q(x2, y2) is given by the formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
If we let the unknown endpoint be Q(x2, y2) and substitute M(7,9) and P(7,-9) into the formulas, we get:
- 7 = (7 + x2)/2
- 9 = (-9 + y2)/2
Solving these equations:
- x2 = 2 * 7 - 7 = 7
- y2 = 2 * 9 + 9 = 27
Therefore, the coordinates of point Q are (7, 27).