Question

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midpoint formula
point 1: $(-4_{x_1}, -4_{y_1})$ point 2: $(-4_{x_2}, 2_{y_2})$
substitute the values in the formula.
midpoint: $left( \frac{-4 + -4}{2}, \frac{-4 + 2}{2} \
ight)$
simplify.
midpoint = (\square, \square)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{x_1 + x_2}{2}\). Here, \(x_1=-4\) and \(x_2 = - 4\). So we substitute these values into the formula: \(\frac{-4+(-4)}{2}=\frac{-8}{2}=-4\).

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{y_1 + y_2}{2}\). Here, \(y_1=-4\) and \(y_2 = 2\). So we substitute these values into the formula: \(\frac{-4 + 2}{2}=\frac{-2}{2}=-1\).

Answer:

\((-4,-1)\)