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d the midpoint of the line segment with the given endpoints. (-5, 8), (…

Question

d the midpoint of the line segment with the given endpoints. (-5, 8), (-4, 10) 7) (-8, 10), (-5, 7)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: For the points $(-8,10)$ and $(-5,7)$

Calculate the x - coordinate of the mid - point: $\frac{-8+( - 5)}{2}=\frac{-8 - 5}{2}=\frac{-13}{2}=-6.5$.
Calculate the y - coordinate of the mid - point: $\frac{10 + 7}{2}=\frac{17}{2}=8.5$.

Answer:

$(-6.5,8.5)$