Question

Reduce the equation $5x-12y=60$ to intercepts form. Hence, find the length of the portion of the line intercepted between he axes.

Answer 1

R.E.F image

Intercept form $=\frac{x}{a}+\frac{y}{b}=1$

$\Rightarrow L:\frac{x}{12}-\frac{y}{5}=1\Rightarrow$ Intercepts are$(12,0),(0,-5)$

By Pythagoras theorem,

$l=\sqrt{{12}^2+5^2}=\sqrt{144+25}=13$