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Find in what ratio the line 3x+y9 divides the line joining the points (1.3) and (2.7).
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Let the line divides the points in k:1 ratio according to section formula (2k+1/+1, 7k+3/k+1) = (x, y) It must satisfy the given equation so 3(2k+1/k+1) + (7k+3/k+1) = 9 6k+3+7+3/k+1 = 9 13k+6=9k+9 13k-9k=9-6
4k=3
k=34
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