Answer:
[tex]3x+4y=-24[/tex]
Therefore, option C is correct.
Step-by-step explanation:
We have been given the equation:
[tex]y=\frac{-3x}{4}-6[/[/tex]
We will take LCM 4 on right hand side of the above equation:
[tex]y=\frac{-3x-24}{4}[/tex]
Now, we will multiply the 4 in denominator on right hand side to the y in left hand side pof the equation we get:
[tex]4y=-3x-24[/tex]
After rearranging the terms we get:
[tex]3x+4y=-24[/tex]
Therefore, option C is correct.