Answer :

Let the given line divide the line segment joining the points A(2, - 2) and B(3, 7) in a ratio *k* : 1

Coordinates of the point of division = ()

This point also lies on 2*x* + *y* - 4 = 0

Therefore,

2 () + () – 4 = 0

= 0

9k – 2 = 0

k =

Hence, the ratio in which the line 2*x* + *y* - 4 = 0 divides the line segment joining the points A(2, - 2) and B(3, 7) is **2:9**.

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