Answer:
slope = - [tex]\frac{1}{6}[/tex]
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 )
Rearrange 5x + 30y = 18 into this form
Subtract 5x from both sides
30y = - 5x + 18 ← divide all terms by 30
y = - [tex]\frac{5}{30}[/tex] + [tex]\frac{18}{30}[/tex]
with slope m = - [tex]\frac{5}{30}[/tex] = - [tex]\frac{1}{6}[/tex]
