The general equation of a line is y = mx+b, m being the slope and b the intercept on the y-axis.
We are given the line 7y-4x=-14, let's organize the equation like the general form:
In order to be parallel to your line, a line has to have the same slope as your line. So the slope has to be 4/7.
Thus any line parallel to the line y=4/7x-2 has an equation of the form y=4/7x+b, where b is any number.
By looking at the answer options, we can select the second option y= 4/7x-1