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find the location of y, the midpoint of $overline{xz}$.

Question

find the location of y, the midpoint of $overline{xz}$.

Explanation:

Step1: Identify coordinates

The coordinate of $X$ is -5 and the coordinate of $Z$ is 7.

Step2: Apply mid - point formula

The mid - point formula for two points $x_1$ and $x_2$ on a number line is $Y=\frac{x_1 + x_2}{2}$. Here $x_1=-5$ and $x_2 = 7$. So $Y=\frac{-5 + 7}{2}$.

Step3: Calculate the value

$\frac{-5 + 7}{2}=\frac{2}{2}=1$.

Answer:

1