1. Determine the ratio in which the line 2x + y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3, 7).
Let the line divide the line segment AB in the ratio at point C.
Then, the coordinates of point C will be:
Point C will also satisfy the given line equation , hence we have
Therefore, the ratio in which the line divides the line segment joining the points and is internally.
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