Paralle lines have the same slope, that is the relation between the increases in y and the increases in x.
So, first we write the line in slope-intercept form:
[tex]\begin{gathered} 7x+5y=-35 \\ 5y=-7x-35 \\ y=-\frac{7}{5}x-7 \end{gathered}[/tex]The line that is parallel is the one that has the same slope (m=-7/5).
The line that satisfies that is Option A: y=-7/5*x+4.
