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A line segment has the endpoints Q(5,8)Q(5,8) and R(3,6)R(3,6). Find the coordinates of its midpoint MM.\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. A line segment has the endpoints Q(5,8)Q(5,8) and R(3,6)R(3,6). Find the coordinates of its midpoint MM.\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 Q(5,8)Q(5,8) and R(3,6)R(3,6). Substitute (5,8)(5, 8) for (x1,y1)(x_1, y_1) and (3,6)(3, 6) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(5+32,8+62)M = \left(\frac{5 + 3}{2}, \frac{8 + 6}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=(5+32,8+62)M = \left(\frac{5 + 3}{2}, \frac{8 + 6}{2}\right)\newlineM=(82,142)M = \left(\frac{8}{2}, \frac{14}{2}\right)\newline$M = (\(4\), \(7\)).

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