What are the coordinates of the point which divides the line segment joining (- 1, 7) and (4, - 3) in the ratio 2:3?

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Solution

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).

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Similar questions

In what ratio the line segment joining the points (-1, 3) and (4, -7) divided by the point (2, -3)?

Which of the following statments are correct?

1. The coordinates of the point which divides the line segment joining the points

$(1, - 2, 3)$ and $(3, 4, - 5)$ internally in the ratio $2 : 3$ is $(- 3, - 14, 19)$ .

2. The coordinates of the point which divides the line segment joining the points

$(1, - 2, 3)$ and $(3, 4, - 5)$ externally in the ratio $2 : 3$ is $(\frac{9}{5}, \frac{2}{5}, \frac{- 1}{5})$ .

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