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S(3,10)S(3,10) and T(5,6)T(5,6) 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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Midpoint formula: find the midpointright chevron icon

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Q. S(3,10)S(3,10) and T(5,6)T(5,6) 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. Identify midpoint formula: Identify the midpoint formula for a line segment.\newlineThe midpoint of a line segment with endpoints (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlineMidpoint M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).
  2. Apply formula to endpoints: Apply the midpoint formula to the given endpoints S(3,10)S(3,10) and T(5,6)T(5,6). Substitute the given coordinates into the midpoint formula: M=(3+52,10+62)M = \left(\frac{3 + 5}{2}, \frac{10 + 6}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((3+5)/2,(10+6)/2)M = ((3 + 5)/2, (10 + 6)/2)\newlineM=(8/2,16/2)M = (8/2, 16/2)\newline$M = (\(4\), \(8\)).

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