Question

determine the ratio in which point P(k,2) divide the join of A(-3,5)and B(5,1) .also find the value of k
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Answer 1

By section formula:

( k, 2 ) =[ -3 + 5m/ m+1, 5 +m / m+1]

Taking Y coordinate,
2 = 5 + m/ m+1
2 m + 2 = 5 + m
m = 3

Ratio = 3:1

Putting m= 3 in X coordinate,
k = -3 + 5(3) / 3+1
k = 12/4 = 3