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J(8,4)J(8,4) and K(2,0)K(2,0) 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. J(8,4)J(8,4) and K(2,0)K(2,0) 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 J(8,4)J(8,4) and K(2,0)K(2,0). Substitute (8,4)(8, 4) for (x1,y1)(x_1, y_1) and (2,0)(2, 0) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(8+22,4+02)M = \left(\frac{8 + 2}{2}, \frac{4 + 0}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((8+2)/2,(4+0)/2)M = ((8 + 2)/2, (4 + 0)/2)\newlineM=(10/2,4/2)M = (10/2, 4/2)\newline$M = (\(5\), \(2\)).

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