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scoray [572]
4 years ago
6

What is the midpoint of CD?

Mathematics
1 answer:
stich3 [128]4 years ago
6 0

Answer:

\large\boxed{M_{CD}\left(\dfrac{1}{2},\ -\dfrac{5}{2}\right)}

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

We have the points C(-3, -4) and D(4, -1).

Substitute:

M_{CD}(x,\ y)\\\\x=\dfrac{-3+4}{2}=\dfrac{1}{2}\\\\y=\dfrac{-4+(-1)}{2}=\dfrac{-5}{2}=-\dfrac{5}{2}

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