Respuesta :

Answer:

The answer is

[tex] ( - 3 \: , \: - \frac{1}{2} ) \\ [/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} ) \\[/tex]

From the question the points are

T(–5, 1) and U(–1, –2)

The midpoint is

[tex]M = ( \frac{ - 5 - 1}{2} \: , \: \frac{1 - 2}{2} ) \\ = ( - \frac{6}{2} \: , \: - \frac{1}{2} )[/tex]

We have the final answer as

[tex] ( - 3 \: , \: - \frac{1}{2} ) \\ [/tex]

Hope this helps you

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