Since it is parallel, the slopes are equal.
The equation of required line is:
where, $c$ is some constant we have to determine using additional conditions.
The condition is that the line passes through $(-2,4)$
Put (-2,4) in our equation.
$5(-2)+2(4)=c=(-10)+8=-2$
Hence, $c=-2$
The final equation is: $\boxed{5x+2y=-2}$
Convert this to the form in the options.
Answer is y=-5/2 x-1