Question

What is the midpoint of line segment with endpoints (-4 1/3, 5 2/5) and (-4 2/3, -1 2/5)

Answer 1

To find the midpoint of the line segment we have to find the midpoint between the first component of the coordinate and the midpoint of the second coordinate so:

For the first coordinate will be:

$\frac{-4\frac{2}{3}+(-4\frac{1}{3})}{2}$

and we simplify:

$\frac{\frac{-4}{1}\frac{2}{2}+(-\frac{4}{1}\frac{1}{3})}{2}$

$\frac{-\frac{8}{3}-\frac{4}{3}}{2}=\frac{-\frac{12}{3}}{2}=-\frac{6}{3}=-2$

And for the second coordinate will be:

$\frac{-1\frac{2}{5}+5\frac{2}{5}}{2}=\frac{\frac{-2}{5}+\frac{10}{5}}{2}=\frac{\frac{8}{5}}{2}=\frac{4}{5}$

So the midpoint is going to be:

$(-2,\frac{4}{5})$