Question

A line passes through $(7,9)$ and the portion of it intercepted between the axes is divided by this point in the ratio $3:1$. Find the equation of the line.

Answer 1

$\frac{3a+O\left(0\right)}{4}=7$ $\frac{b}{4}=9$

$3a=28$ $b=36$

$a=\frac{28}{3}$

equation $\Rightarrow \frac{x}{a}+\frac{y}{b}=1$

$\frac{x}{\frac{28}{3}}+\frac{y}{36}=1$

$\frac{3x}{28}+\frac{y}{36}=1$