Question

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midpoint formula
point 1: (5$x_1$, 9$y_1$) point 2: (-7$x_2$, -7$y_2$)
substitute the values in the formula.
(\frac{5 + -7}{2}, \frac{9 + -7}{2})
simplify.
midpoint = (\square, \square)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The midpoint formula for the x - coordinate is $\frac{x_1 + x_2}{2}$. Here, $x_1 = 5$ and $x_2=-7$. So we substitute these values into the formula: $\frac{5+(-7)}{2}=\frac{5 - 7}{2}=\frac{-2}{2}=-1$.

Step2: Calculate the y - coordinate of the midpoint

The midpoint formula for the y - coordinate is $\frac{y_1 + y_2}{2}$. Here, $y_1 = 9$ and $y_2=-7$. So we substitute these values into the formula: $\frac{9+(-7)}{2}=\frac{9 - 7}{2}=\frac{2}{2}=1$.

Answer:

$(-1,1)$