Q: 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.
Using the section formula we find the value of a and b
and
and
and
Coordinates of A and B are and
Equation of line AB
Hence, trequired equation is 8x-5y+60=0