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Chapter 2: Problem 22

Find the midpoint of each line segment with the given endpoints. $$(-4,-7) \text { and }(-1,-3)$$

Short Answer

Expert verified
The midpoint of the line segment with endpoints (-4,-7) and (-1,-3) will be \(-\frac{5}{2},-5\), or \(-2.5,-5\) in decimal form.

Step by step solution

01

Identify the coordinates of the endpoints

The coordinates of the endpoints given are (-4,-7) and (-1,-3). So, we have \(x_1=-4\), \(y_1=-7\), \(x_2=-1\) and \(y_2=-3\).
02

Apply the midpoint formula

The midpoint \((x,y)\) can be obtained by applying the midpoint formula: \(x=\frac{x_1+x_2}{2}\) and \(y=\frac{y_1+y_2}{2}\)Substituting the values in the formula, we get:\(x= \frac{-4+(-1)}{2} = -\frac{5}{2}\)\(y= \frac{-7+(-3)}{2} = -\frac{10}{2} = -5\)
03

Determine the midpoint

The coordinates of midpoint will be \(-\frac{5}{2},-5\), which is \(-2.5,-5\) in decimal form.

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