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A straight line cuts the coordinate axes, and the segment between the axes is divided by the point (−5, 4) in the ratio 1:2. Which equation represents this line?

1. 8x + 5y = 60
2. 8x − 5y = 60
3. −8x + 5y = 60
4. None of these

Correct answer: −8x + 5y = 60

Solution

The point (−5, 4) divides the segment between the x-intercept and y-intercept in the ratio 1:2, allowing us to derive the equation of the line using the section formula. The correct equation, −8x + 5y = 60, satisfies the conditions of the intercepts and the given ratio.

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