Determine 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)

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, 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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