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

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

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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))

User Gggg
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