Question

Find the equation of the straight line passing through the point $(5,-3)$ and where intercepts on the axes are equal in magnitude but opposite in sign.

Answer 1

$\begin{array}{c}Interseptfrom\\ \Rightarrow \frac{x}{a}+\frac{y}{b}=1\\ letinterceptSin\left(a\right)and(-a)\\ \Rightarrow \frac{x}{a}-\frac{y}{a}=1.........\left(i\right)\\ linePassesthroughPoint(5,-3)\\ Then\\ \Rightarrow \frac{5}{a}+\frac{3}{a}=1\\ \therefore a=8\\ Puttinga=8ine{q}^n...\left(i\right)\\ \Rightarrow \frac{x}{y}-\frac{y}{8}=1\\ x-y=8\end{array}$