Respuesta :

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]