Respuesta :

Answer:

[tex]m(x, y)=(\frac{7}{2} , -\frac{5}{2} )[/tex]

Step-by-step explanation:

Midpoint of line segment is calculated as

[tex]m(x, y)=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]  -----------(1)

Here

[tex](x_1, y_1) = (12,2) \ \ and \ \ (x_2, y_2) = (-5, -7)[/tex]

Substituting values in equation (1)

[tex]m(x, y)=(\frac{12-5}{2} , \frac{2-7}{2} )[/tex]

[tex]m(x, y)=(\frac{7}{2} , -\frac{5}{2} )[/tex]

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