Question

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find the midpoint of the line segment from (5,-4) to (2,-8).
midpoint =
give your answer as a point, with coordinates given as integers or
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Explanation:

Step1: Find the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x\) of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_x=\frac{x_1 + x_2}{2}\). Here \(x_1 = 5\) and \(x_2=2\), so \(M_x=\frac{5 + 2}{2}=\frac{7}{2}=3.5\).

Step2: Find the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y\) of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_y=\frac{y_1 + y_2}{2}\). Here \(y_1=-4\) and \(y_2 = - 8\), so \(M_y=\frac{-4+( - 8)}{2}=\frac{-4-8}{2}=\frac{-12}{2}=-6\).

Answer:

\((3.5,-6)\)