Answer:
y = - [tex]\frac{1}{2}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3x + 6y = - 18 ( subtract 3x from both sides )
6y = - 3x - 18 ( divide through by 6 )
[tex]\frac{6}{6}[/tex] y = [tex]\frac{-3}{6}[/tex] x + [tex]\frac{-18}{6}[/tex] , that is
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form