The slope intercept form is
y = mx + c
4x + 9y = -36
We should rearrange to keep it in y = mx + c order
And therefore we do this:
take the x to the other side
9y = -4x - 36
Divide both sides by 9 to be y alone
[tex] \frac{9y}{9} [/tex] = [tex] \frac{4x - 36}{9} [/tex]
9 and 9 cancels out
y = [tex] -\frac{4x}{9} [/tex] - 4
The first option is the answer
