SOLUTION: The point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?      Log On


   

Question 940372: The point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=%28%285%2B8%29%2F%2813%2B2%29%29x%2Bb
y=%2813%2F15%29x%2Bb
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b=y-mx
b=5-%2813%2F15%2913
5%2F15-169%2F15
b=-144%2F15
b=-9%263%2F5
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y=%2813%2F15%29x-9%263%2F5
-
The line for the two given points contain the variable points, (x, (13/15)x-48/5 ). Point Q is one of these points.



That is slightly, only slightly pre-simplified. Continue simplifying this and solve for x. Use the result to find the corresponding y-value.