Posted by **Miley** on Friday, December 27, 2013 at 9:30am.

If the point (x, y) is one-third 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:

(y-6)/(-8-6) = 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)

= √( (-2-2/3)^2 + (6-4/3)^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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