Question

Write the equation $3x-2y-4=0$ in the slope-intercept form. Hence write the slope and $y$-intercept of the line.

Answer 1

$3x-2y-4=0$
$\Rightarrow 2y=3x-4$
$\Rightarrow y=\frac{3}{2}x-2$ ....$\left(i\right)$
This is in the slope-intercept form,
$y=mx+c$
and comparing equation $\left(i\right)$ with it, we get,
$m=\frac{3}{2}$ and $c=-2$
$\Rightarrow$ Thus, slope of the line is $3$ and y-intercept is $-2.$