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Answer:

( [tex]\frac{5}{2}[/tex], 3)

Step-by-step explanation:

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The midpoints of the line segment are 5/2, and 3.

Midpoints of a line segment;

The midpoint is halfway between the two endpoints: Its x value is halfway between the two x values Its y value is halfway between the two y values.

Given

The midpoint of the segment (3,7) (2,-1).

The midpoint of the line segment is given by the following formula;

[tex]\rm Midpoint = \left (\dfrac{x_1+y_1}{2}, \dfrac{x_2+y_2}{2}, \right)[/tex]

Therefore,

The midpoints of the line segment are;

[tex]\rm Midpoint = \left (\dfrac{x_1+y_1}{2}, \dfrac{x_2+y_2}{2}\right)\\\\\rm Midpoint = \left (\dfrac{3+2}{2}, \dfrac{7+(-1)}{2} \right)\\\\Midpoint = \left (\dfrac{5}{2}, \dfrac{7-1}{2}\right)\\\\ Midpoint = \left (\dfrac{5}{2}, \dfrac{6}{2} \right)\\\\ Midpoint = \left (\dfrac{5}{2}, 3 \right)\\[/tex]

Hence, the midpoints of the line segment are 5/2, and 3.

To know more about the Midpoint of the line segment click the link given below.

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