Answer:
slope = - [tex]\frac{9}{2}[/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 18x + 4y = 122 into this form
Subtract 18x from both sides
4y = - 18x + 122 ( divide all terms by 4 )
y = - [tex]\frac{-18}{4}[/tex] x + [tex]\frac{122}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{18}{4}[/tex] = - [tex]\frac{9}{2}[/tex]