We have the equation 6y-7x=24, and want to know what of the options represents a line parallel to that one.
First we need to write our equation in the form of the options:
[tex]\begin{gathered} 6y-7x=24 \\ 6y=7x+24 \\ y=\frac{7x+24}{6}=\frac{7x}{6}+\frac{24}{6} \\ y=\frac{7}{6}x+4 \end{gathered}[/tex]
Now, we know that two lines are parallel if and only if they slopes are equal, so the slope of our line is 7/6 and the option that has the same slope is the option A.
So te correct answer is the option A
