. Determine the ratio in which the line 3x + y - 9 – 0 divides the segment joining the points (1, 3)
and( 12, 7)
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. Determine the ratio in which the line 3x + y - 9 – 0 divides the segment joining the points (1, 3)
and( 12, 7)
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Answer:
Let the line divides the points in k:1 ratio according to section formula
(2k+1/k+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+7k+3/k+1 = 9
13k+6=9k+9
13k-9k=9-6
4k=3
k=3/4
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