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Question
Find the coordinates of the point which divides the line segment joining the points A(4, −3) and B(9, 7) in the ratio 3 : 2
Solution
A line divides internally in the ratio m : n
The point P = `(("m"x_2 + "n"x_1)/("m" + "n"), ("m"y_2 + "n"y_1)/("m" + "n"))`
m = 3, n = 2, x1 = 4, x2 = 9, y1 = −3, y2 = 7
= `((3 xx 9 + 2 xx 4)/(3 + 2), (3 xx 7 + 2(-3))/(3 + 2))`
= `((27 + 8)/5, (21 - 6)/5)`
= `(35/5, 15/5)`
= (7, 3)
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