Problema Solution

We are driving diagonally cross country from Portland, OR, to a city Southeast in the USA. We know that the midpoint of our drive can be represented as (x1+x2)/2, (y1+y2)/2. If we know that x1=500&y1=200, what would be the midpoint if y2=600?(and we require (x1+y1)=(x2+y2))

Answer provided by our tutors

We know that the midpoint of our drive can be represented as:


((x1+x2)/2, (y1+y2)/2)


Also we know that


x1 = 500


y1 = 200


y2 = 600


We use (x1+y1)=(x2+y2) to find x2:


500 + 200 = x2 + 600

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x2 = 100


Plug the values x1 = 500, y1 = 200, x2 = 100 and y2 = 600 into (x1+x2)/2 and (y1+y2)/2


(500+100)/2 = 300


(200 + 600)/2 = 400


The midpoint would be (300,400).