Find the coordinate of a point P on the line segment joining the points A(1,2) and B(6,7) such that AP = 2/5 AB. Hi, I'd really appreciate it if you helped me. Thanks!
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Answer:
(3,4)
Step-by-step explanation:
AP = 2/5 AB
PB = AB - AP = AB-2/5AB=3/5AB
So, AP:PB =2:3
P(x,y) = (mx2+nx1) /(m+n), (my2+ny1) /(m+n)
= (2.6 + 3.1)/5, (2.7+3.2)/5
= 12+3/5, 14+6/5
= 15/5, 20/5
=(3,4)
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