Find the midpoint of the line segment with the given endpoints.

The midpoint of the segment is
(Type an ordered pair.)

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Mar 24,2025

Question

Find the midpoint of the line segment with the given endpoints. $$ (10,4) \text { and }(2,8) \text {, } $$ The midpoint of the segment is (Type an ordered pair.)

UpStudy AI · Accepted Answer

1. The midpoint $$ M $$ of a line segment with endpoints $$ (x_1, y_1) $$ and $$ (x_2, y_2) $$ is given by:
   $$
   M = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)
   $$

2. Given the endpoints $$ (10, 4) $$ and $$ (2, 8) $$, assign:
   $$
   x_1 = 10,\quad y_1 = 4,\quad x_2 = 2,\quad y_2 = 8
   $$

3. Substitute the values into the midpoint formula:
   $$
   M = \left( \frac{10+2}{2}, \frac{4+8}{2} \right)
   $$

4. Compute the sums:
   $$
   10+2 = 12,\quad 4+8 = 12
   $$

5. Divide by 2:
   $$
   M = \left( \frac{12}{2}, \frac{12}{2} \right) = (6, 6)
   $$

The midpoint of the line segment is $$ (6, 6) $$.
The midpoint is (6, 6).

Find the midpoint of the line segment with the given endpoints.

The midpoint of the segment is
(Type an ordered pair.)

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Find the midpoint of the line segment with the given endpoints. The midpoint of the segment is (Type an ordered pair.)