Asked by Patrick

Good morning. I have another math problem I may have to have checked. I am not real good at re-checking with the distance formula.

#8
Given segment AB with A(8, -4) and B(-6, -11), if P partitions AB such that the ratio of AP to AB is 2:7, find the coordinates of P.

8+2/9 (-6 - -8)
8 + 2/9 (-14)
8+ -28/9
8/1 + -28/9= 72/9 + -28/9 =44/18=3
X=3

-4 + 2/9 ( -11 - -4)
-4 + 2/9(-7)
-4/1 + -14/9= -36/9 + -14/9= -50/9= -5.5
Y=-5.5

Are my answers correct?
Answered by oobleck
The distance from a to b is b-a. So, you should have started out with
8+2/9 (-6 - 8)
Your next line, oddly enough is correct.
Unfortunately at the end, 44/18 ≠ 3 (54/18 = 3)

Y is correct, though you should have just left the answer as -50/9
That is exact, while 5.5 is just an approximation
Answered by Patrick
My new answer for X is 44/9 is that correct?
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