The coordinates of the midpoint of points in plane with coordinates (-2,8) and (8,-2) is

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{"content":[{"type":"paragraph","content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 1 (Midpoint Formula):"},{"text":" The coordinates of the midpoint of two points ","type":"text"},{"attrs":{"latex":"(x_1, y_1)"},"type":"math_inline"},{"text":" and ","type":"text"},{"attrs":{"latex":"(x_2, y_2)"},"type":"math_inline"},{"text":" are given by:","type":"text"}]},{"type":"math_block","attrs":{"latex":"\text{Midpoint} = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)"}},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Substitute the Coordinates):","type":"text"},{"text":" We are given ","type":"text"},{"attrs":{"latex":"(-2, 8)"},"type":"math_inline"},{"text":" and ","type":"text"},{"attrs":{"latex":"(8, -2)"},"type":"math_inline"},{"type":"text","text":":"}]},{"attrs":{"latex":"\text{Midpoint} = \left(\frac{-2 + 8}{2}, \frac{8 + (-2)}{2}\right)"},"type":"math_block"},{"type":"math_block","attrs":{"latex":"\text{Midpoint} = \left(\frac{6}{2}, \frac{6}{2}\right) = (3, 3)"}},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):","type":"text"},{"text":" The midpoint coordinates are ","type":"text"},{"attrs":{"latex":"(3,3)"},"type":"math_inline"},{"text":", which matches option index ","type":"text"},{"text":"1","type":"text","marks":[{"type":"code"}]},{"text":" in ","type":"text"},{"marks":[{"type":"code"}],"text":"['(0,0)', '(3,3)', '(2,2)', '(8,8)']","type":"text"},{"text":".","type":"text"}],"type":"paragraph"}],"type":"doc"}

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