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Solve using midpoint rule P(7,-9);M(7,9)

User Farvardin
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1 Answer

5 votes

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).

User CodingEra
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