Question

Reduce the equation $2x-3y-5=0$ to slope-intercept form and find its slope and $y-$intercept.

Answer 1

The given equation is $2x-3y-5=0$

It can be written as $3y=2x-5$

$\Rightarrow y=\frac{2}{3}-\frac{5}{3}$

which is in the required slope-intercept form.

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

$m=\frac{2}{3},c=\frac{-5}{3}$

Hence Slope$=\frac{2}{3}$ and $y-$intercept$=\frac{-5}{3}$