Question

find the coordinate of the point which divide the join of (-1,7) and (4,-3) in the ratio 2:3​

Answer 1

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Answer 2

Let P(x,y) be the required point . Using the section formula , we get

$x = \frac {2 \times 4 + 3 \times (-1)}{2+3} = \frac {8-3}{5} = \frac {5}{5} = 1 \\\\\ y = \frac {2 \times (-3) +3 \times 7}{2+3} = \frac {-6+21}{5} = \frac {15}{5} = 3$

Therefore the point is (1,3) .