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determine the ratio in which the line 2x + y - 4 = 0 divides the line segment joining the points (2,-2) and (3,7)

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 2x + y ? 4 = 0



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


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