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A line segment has the endpoints P(4,0)P(4,0) and Q(8,4)Q(8,4). 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 P(4,0)P(4,0) and Q(8,4)Q(8,4). 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 P(4,0)P(4,0) and Q(8,4)Q(8,4). Substitute (4,0)(4, 0) for (x1,y1)(x_1, y_1) and (8,4)(8, 4) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(4+82,0+42)M = \left(\frac{4 + 8}{2}, \frac{0 + 4}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((4+8)/2,(0+4)/2)M = ((4 + 8)/2, (0 + 4)/2)\newlineM=(12/2,4/2)M = (12/2, 4/2)\newlineM=(6,2).M = (6, 2).

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