Question

Reduce the equation $2x+3y-4=0$ to slope-intercept form and find its slope and $y-$intercept.

Answer 1

The given equation is $2x+3y-4=0$

It can be written as $3y=-2x+4$

$\Rightarrow y=\frac{-2}{3}x+\frac{4}{3}$

which is in the required slope-intercept form.

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

$m=-\frac{2}{3}c=\frac{4}{3}$

Hence Slope$=-\frac{2}{3}$ and $y-$intercept$=\frac{4}{3}$