find the ratio in which the point [-3,k] divides the line segment joining the points [-5,-4] and [-2,3].Hence find the value of k.

Suppose the point P (– 3, *k*) divides the line segment joining points A (–5, – 4) and B (–2, 3) in the ratio *x* : 1

then coordinats of P are But the coordinates of P are (–3, *k*).

Hence the ratio is 2 : 1 and

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