Question

Reduce the equation $x+2y-6=0$ to slope-intercept form and find its slope and $y-$intercept.

Answer 1

The given equation is $x+2y-6=0$

It can be written as $2y=-x+6$

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

which is in the required slope-intercept form.

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

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

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