Q4 of 319 Page 23

The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 is

Let the required line intersects the coordinate axis at (a, 0) and (0, b).



The point (− 4, 3) divides the required line in the ratio 5 : 3


∴ -4and


⇒ aand b


Hence, the equation of the required line is given below:



⇒


⇒ -9x + 20y = 96


⇒ 9x – 20y + 96 = 0

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