SOLUTION: Find the point M that is two seventh of the distance from A(-9,2) to B(-2,-12)

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Question 1065863: Find the point M that is two seventh of the distance from A(-9,2) to B(-2,-12)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Take 2/7 of the x distance, which is 7, so the x-value is 2 away from -9 towards -2 or -7.
The y is 2/7 of the y distance, which is 14 from 2 to -12, or -2.
(-7,-2)
Distance is the sqrt { (x2-x1)^2+ (y2-y1)^2}= sqrt (49+196)=sqrt (245=sqrt(49)*sqrt(5)=7 sqrt (5)
distance from point A to (-7,-2) is sqrt (4+16)=sqrt (20)=2 sqrt (5), which is 2/7 the distance to 7 sqrt (5).