SOLUTION: the endpoint of segment AB are A(1,-5)and B (9,11) . Find the coordinates of the point 7/8 of the way from A to B

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Question 462831: the endpoint of segment AB are A(1,-5)and B (9,11) . Find the coordinates of the point 7/8 of the way from A to B
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Treat the points as mass points. To find the point 7/8 of the way from A to B (with B being the closer point), we treat B as a point having a greater mass. If we denote the unknown point C, we can say that C is the "center of mass" (this technique is similar to weighted average, or one involving torque in physics). Applying this technique,

C = (7(9,11) + 1(1,-5))/8 = (8,9)

It can also be found by taking the differences in the x- and y-coordinates (8 and 16), then scaling each one by 7/8 to get (8,9) as the coordinates(luckily we get integer answers).