Respuesta :

[tex]\text{midpoint}_{P1P2}=(-1,-14)[/tex]

Explanation

Step 1

if you have two points P1 and P2 , the midpoint is given by:

[tex]\begin{gathered} \text{midpoint}_{P1P2}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{where} \\ P1(x_{_1,}y) \\ P2(x_2,y_2) \end{gathered}[/tex]

Let

P1(3,-18)

P2(-5,-10)

Step 2

replace,

[tex]\begin{gathered} \text{midpoint}_{P1P2}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{midpoint}_{P1P2}=(\frac{3-5}{2},\frac{-18-10}{2}) \\ \text{midpoint}_{P1P2}=(\frac{-2}{2},\frac{-28}{2}) \\ \text{midpoint}_{P1P2}=(-1,-14) \\ \end{gathered}[/tex]

I hope this helps you

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