SOLUTION: Points A(2,2), B(x,y) and C(8,6) are collinear and point B is between points A and C. The length of the segment AB is equal to 1/5 the length of segment AC. Find the coordinates of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Points A(2,2), B(x,y) and C(8,6) are collinear and point B is between points A and C. The length of the segment AB is equal to 1/5 the length of segment AC. Find the coordinates of      Log On

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Question 366448: Points A(2,2), B(x,y) and C(8,6) are collinear and point B is between points A and C. The length of the segment AB is equal to 1/5 the length of segment AC. Find the coordinates of point B.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Break up the X and Y distances separately,
X:%28x-2%29=%281%2F5%29%288-2%29
x-2=6%2F5
x=6%2F5%2B10%2F5
highlight%28x=16%2F5%29
.
.
.
Y:%28y-2%29=%281%2F5%29%286-2%29
y-2=4%2F5
y=4%2F5%2B10%2F5
highlight%28y=14%2F5%29
.
.
.