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Given point (2,-3) and point (-5,4), fin...

Given point (2,-3) and point (-5,4), find the length of `overline(PQ)` and the coordinates of the midpoint, M.

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To solve the problem of finding the length of the line segment \( \overline{PQ} \) and the coordinates of the midpoint \( M \) given the points \( P(2, -3) \) and \( Q(-5, 4) \), we will follow these steps: ### Step 1: Calculate the Length of the Line Segment \( \overline{PQ} \) We use the distance formula to calculate the length of the line segment between two points \( P(x_1, y_1) \) and \( Q(x_2, y_2) \): \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ...
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