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:

`(-4(2)/(3)+(-4(1)/(3)))/(2)`

and we simplify:

`((-4)/(1)(2)/(2)+(-(4)/(1)(1)/(3)))/(2)`

`(-(8)/(3)-(4)/(3))/(2)=(-(12)/(3))/(2)=-(6)/(3)=-2`

And for the second coordinate will be:

`(-1(2)/(5)+5(2)/(5))/(2)=((-2)/(5)+(10)/(5))/(2)=((8)/(5))/(2)=(4)/(5)`

So the midpoint is going to be:

`(-2,(4)/(5))`