Question

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

Answer 1

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

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

$\Rightarrow y=\frac{-2}{3}x=\frac{-2}{3}x+0$

which is in the required slope-intercept form.

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

$m=\frac{-2}{3},c=0$

Hence Slope$=\frac{-2}{3}$ and $y-$intercept$=0$