Answer:
A. [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
The given equation is
[tex]3x-7y=14[/tex]
We solve for y by subtracting 3x from both sides to obtain;
[tex]-7y=14-3x[/tex]
We now divide through by -7 to get;
[tex]y=\frac{-3}{-7}x+\frac{14}{-7}[/tex]
This simplifies to;
[tex]y=\frac{3}{7}x-2[/tex]
This equation is now in the form y=mx +c, where [tex]m=\frac{3}{7}[/tex] is the slope.