The slope of two parallel lines are equal.
Let us find slope of given equation.
The general slope intercept form is given by :
[tex] y=mx+c [/tex]
where m is slope
our equation is :
[tex] 5x-15y=30 [/tex]
Now we have to convert our equation into slope intercept form.
let us try to isolate y on the left side.
taking 5x to the right side we have ,
[tex] -15y=-5x+30 [/tex]
dividing both sides by -15,
[tex] y=\frac{x}{3} -2 [/tex]
coefficient of x is slope,
so slope is 1/3
slope of line parallel to it is also same that is 1/3 .
Correct option is D.
