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Chapter 2: Problem 23

Find the midpoint of each line segment with the given endpoints. $$(-3,-4) \text { and }(6,-8)$$

Short Answer

Expert verified
The midpoint of the line segment with the points \(-3, -4\) and \(6, -8\) is \(1.5,-6\).

Step by step solution

01

Identify the coordinates

Identify two points coordinates. The coordinates for the first point are \(-3, -4\) and for the second point are \(6, -8)\.
02

Apply the midpoint formula

Apply the midpoint formula \( M= [(x1 + x2)/2 , (y1 + y2)/2] \). Substituting given points into formula we get \( M = [(-3 + 6)/2 , (-4 + -8)/2]\).
03

Calculate the coordinates

Calculate the coordinates by simplifying the formula to get \( M= [(3)/2 , (-12)/2] \). After simplifying, the result would be \( M = [1.5, -6] \).

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