Q10 of 59 Page 178

If the intercept of a line between the coordinate axes is divided by the point (–5, 4) in the ratio 1:2, then find the equation of the line.

Let a and b be the intercepts on the given line

∴ Coordinates of A and B are (a, 0) and (0, b) respectively.


Given that coordinate axes is divided by the point (-5, 4) in the ratio 1:2.


Now, using the section formula, we find the value of a and b






⇒-15 = 2a and b = 12



∴ Coordinates of A and B are



Now, we have to find the equation of line AB.


Equation of line when two points are given:



Putting the values, we get






⇒ 5y = 8x + 60


⇒ 8x – 5y + 60 = 0


Hence, the required equation is 8x – 5y + 60 = 0


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