Question

The equation of a line is $3x+2y+1=0$. Find its slope and y-intercept.

Answer 1

Equation: $3x+2y+=0$
Rewrite in the standard form of $y=mx+c$
$2y=-3x-1$
Dividing by $2$, we get
$y=\frac{-3}{2}x-\frac{1}{2}$
Compare with y$=mx+c$
$\therefore m=\frac{-3}{2},$ $c=\frac{-1}{2}$
Slope $=\frac{-3}{2}$
y-intercept$=\frac{-1}{2}$