Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment joining (3, -1) and (8, 9).
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Step-by-step explanation:
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Ratio is 2:3.
Step-by-step explanation:
By section formula, coordinates of P(x,y) = (m1x2 + m2x1/ m1 + m2 , m1y2 + m2y1/ m1 + m2)
= (8m1 + 3m2/ m1 + m2 , 9m1 - 1m2/ m1 + m2)
Line x-y-2 passes through AB, x and y will be solutions.
So, (8m1 + 3m2/ m1 + m2 , 9m1 - 1m2/ m1 + m2) = 2
8m1 - 9m1 + 3m2 + m2 = +2m1 + 2m2
-1m1 + 4m2 = 2m1 + 2m2
2m2 = 3m1
m1/m2 = 2/3
The ratio is 2:3.
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