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question find the midpoint of the line segment with endpoints (1, -2) a…

Question

question
find the midpoint of the line segment with endpoints (1, -2) and (-7, -14). enter an ordered pair.
provide your answer below.
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Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 1,y_1=-2,x_2=-7,y_2 = - 14$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{1+( - 7)}{2}=\frac{1 - 7}{2}=\frac{-6}{2}=-3$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-2+( - 14)}{2}=\frac{-2-14}{2}=\frac{-16}{2}=-8$.

Answer:

$(-3,-8)$