Question

Convert the following equation into $y=mx+c$ form and find the slope
$\frac{x}{3}+\frac{y}{2}=1$.

Answer 1

$\frac{x}{3}+\frac{y}{2}=1$
$\frac{y}{2}=\frac{-x}{3}+1$
$\therefore y=\frac{-2}{3}x+2$
Comparing with standard equation of line y = mx + c
$\therefore$ The slope $=\frac{-2}{3}$
$y=mx+c$ form : $y=\frac{-2}{3}x+2,$ slope $=\frac{-2}{3}$