Question

Reduce the equation $x-3y-6=0$ to slope-intercept form and find its slope and $y-$intercept.

Answer 1

The given equation is $x-3y-6=0$

It can be written as $3y=x-6$

$\Rightarrow y=\frac{x}{3}-\frac{6}{3}=\frac{x}{3}-2$

which is in the required slope-intercept form.

On comparing with $y=mx+c$ we get

$m=\frac{1}{3},c=-2$

Hence Slope$=\frac{1}{3}$ and $y-$intercept$=-2$