Answer:
y = - [tex]\frac{1}{6}[/tex] x - [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 3x + 18y = - 16 into this form
Subtract 3x from both sides
18y = - 3x - 16 ( divide all terms by 18 )
y = - [tex]\frac{3}{18}[/tex] x - [tex]\frac{16}{18}[/tex], that is
y = - [tex]\frac{1}{6}[/tex] x - [tex]\frac{8}{9}[/tex] ← in slope- intercept form