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Question
Find the coordinates of the point which divides the line segment joining (−1,3) and (4, −7) internally in the ratio 3 : 4
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Solution
We have A (−1, 3) and B (4,−7) be two points. Let a point P(x, y) divide the line segment joining the points A and B in the ratio 3:4 internally.
Now according to the section formula if point a point P divides a line segment joining `A(x_1, y_1)` and B`(x_2, y_2)` in the ratio m: n internally than,
P(x,y) = ((nx_1 + mx_2)/(m+n), (ny_1 + my_2)/(m+n))
`= (8/7,-9/7)`
Therefore, co-ordinates of point P is `(8/7,-9/7)`
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