[tex]\text{Turn the equation into slope intercept form}\\\\\text{Slope intercept form: y = mx + b}\\\\\text{Solve:}\\\\x+2y=6\\\\\text{Subtract x from both sides}\\\\2y=-x+6\\\\\text{Divide both sides by 2}\\\\\boxed{y=-\frac{1}{2}x+3}[/tex]