Posted by Miley on Friday, December 27, 2013 at 9:30am.
If the point (x, y) is onethird of the way from (2, 6) to (6,8), then what is x + y?
What is the x+y?

Math  Reiny, Friday, December 27, 2013 at 10:41am
for the x:
(x+2)/(6+2) = 1/3
3x + 6 = 8
3x = 2
x = 2/3
for the y:
(y6)/(86) = 1/3
3y  18 = 14
3y = 4
y = 4/3
(x,y) = (2/3,4/3)
check: distance form (2,6) to (2/3,4/3)
= √( (22/3)^2 + (64/3)^2
= √( 64/9 + 196/3)
=√(260/9)
= (1/3)√260
distance from (2,6) to 6,8)
= √( 64 + 196)
= √260
so the distance checks out
x+y = 2/3 + 4/3 = 6/3 = 2
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