Solve for: -3x+3y+6=0

Expression: $-3x+3y+6=0$

Rewrite the equation in slope-intercept form


If a term doesn't have a coefficient, it is considered that the coefficient is $1$


Subtracting is the same as adding the opposite

$y=1x+\left( -2 \right)$

Since the equation is written in slope-intercept form, $y=mx+b$, identify the slope of the line as the coefficient next to the variable $x$

$\begin{array} { l }y=1x+\left( -2 \right),& m=1\end{array}$

Identify the $y$-intercept of the line as the constant term

$\begin{array} { l }y=1x+\left( -2 \right),& m=1,& b=-2\end{array}$

The slope of the line is $m=1$ and the $y$-intercept is $b=-2$

$\begin{array} { l }m=1,& b=-2\end{array}$