Question

Reduce the equation $x+2y-3=0$ to slope-intercept form and find its slope and $y-$intercept.

Answer 1

The given equation is $x+2y-3=0$

It can be written as $2y=-x+3$

$\Rightarrow y=\frac{-1}{2}x+\frac{3}{2}$

which is in the required slope-intercept form.

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

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

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