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F(8,3)F(8,3) and G(8,7)G(8,7) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)

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Q. F(8,3)F(8,3) and G(8,7)G(8,7) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)
  1. Midpoint Formula: Identify the midpoint formula for a line segment.\newlineThe midpoint is the average of the coordinates of the endpoints.\newlineMidpoint formula: ((x1+x2)/2,(y1+y2)/2)((x_1 + x_2)/2 , (y_1 + y_2)/2)
  2. Given Endpoints: Endpoints: F(8,3)F(8, 3) and G(8,7)G(8, 7)\newlineSubstitute (8,3)(8, 3) for (x1,y1)(x_1, y_1) and (8,7)(8, 7) for (x2,y2)(x_2, y_2) into the midpoint formula.\newlineM=(8+82,3+72)M = \left(\frac{8 + 8}{2} , \frac{3 + 7}{2}\right)
  3. Substitute Endpoints: Calculate the coordinates of MM.M=(8+82,3+72)M = \left(\frac{8 + 8}{2} , \frac{3 + 7}{2}\right)M=(162,102)M = \left(\frac{16}{2} , \frac{10}{2}\right)M=(8,5)M = (8 , 5)

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