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A line segment has the endpoints G(0,8)G(0,8) and H(4,2)H(4,2). Find the coordinates of its midpoint MM.\newline\newlineWrite the coordinates as decimals or integers.\newline\newlineM=(_,_)M = (\_,\_)

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Midpoint formula: find the midpointright chevron icon

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Q. A line segment has the endpoints G(0,8)G(0,8) and H(4,2)H(4,2). Find the coordinates of its midpoint MM.\newline\newlineWrite the coordinates as decimals or integers.\newline\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: G(0,8)G(0, 8) and H(4,2)H(4, 2)\newlineSubstitute (0,8)(0, 8) for (x1,y1)(x_1, y_1) and (4,2)(4, 2) for (x2,y2)(x_2, y_2) into the midpoint formula.\newlineM=(0+42,8+22)M = \left(\frac{0 + 4}{2} , \frac{8 + 2}{2}\right)
  3. Substitute Coordinates: Calculate the coordinates of MM. \newlineM=((0+4)/2,(8+2)/2)M = ((0 + 4)/2 , (8 + 2)/2)\newlineM=(4/2,10/2)M = (4/2, 10/2)\newlineM=(2,5)M = (2, 5)

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