Verified Answer :

The answer to this question would be Y= -4/3 X - 4. This is because y can't be negative. So, when you go to put -3y=4x+12 together (which is the correct form) you have to make sure your y is positive and then isolate your variables (divide by -3)

Answer:

 

Step-by-step explanation:

The given equation is:

\(4x-3y=12\)

We have to write this equation in the form of y=mx+b,thus adding 3y on both sides, we get

\(4x-3y+3y=12+3y\)

\(4x=12+3y\)

Subtracting 12 on both sides, we get

\(4x-12=3y\)

Dividing by 3 on both sides,

\(\frac{4}{3}x+(-\frac{12}{3})=y\)

\(\frac{4}{3}x+(-4)=y\)

which is in the form y=mx+b where m=\(\frac{4}{3}\) and b=-4