Answer: [tex]y=-\frac{6}{5}x+6[/tex]
Step-by-step explanation:
We need to rewrite this as: [tex]y=Mx+b[/tex]
What we have: [tex]6x+5y=30[/tex]
Begin by isolating 5y. To do this, we have to subtract 6x from both sides.
[tex]6x-6x+5y=30-6x[/tex]
[tex]5y=-6x+30[/tex]
To completely isolate y, divide by 5.
[tex]\frac{5y}{5}=\frac{-6x}{5}+\frac{30}{5}[/tex]
Solve;
[tex]y=-\frac{6}{5}x+6[/tex]