SOLUTION: Find the coordinates of the point dividing the line segment joining the points (26, 10) and (-1, 14) in the ratio 2: 9.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Find the coordinates of the point dividing the line segment joining the points (26, 10) and (-1, 14) in the ratio 2: 9.      Log On


   



Question 1054586: Find the coordinates of the point dividing the line segment joining the points (26, 10) and (-1, 14) in the ratio 2: 9.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the x-distance,
x=-1-26=-27
Divide by 2%2B9=11 to get the individual step in x.
dx=-27%2F11
To get from x=26 to the point, take two x steps starting at x=26.
x%5Bp%5D=26%2B2%28-27%2F11%29=26-54%2F11=289%2F11-54%2F11=232%2F11
Same process with y.
Calculate the y-distance,
y=14-10=4
Divide by 11 to get the individual step in y.
dy=4%2F11
To get from y=10 to the point, take two y steps starting at y=10.
y%5Bp%5D=10%2B2%284%2F11%29=110%2F11%2B8%2F11=118%2F11
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(232%2F11,118%2F11)