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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