There is not a correct answer in your options. It should be a line with a slope of 3/5.
In order to find this, we first need to find the slope of the original line by solving for y.
5x + 3y = 15
3y = -5x + 15
y = -5/3x + 5
So with the slope of -5/3, we know perpendicular slope must be the opposite and a negated version of that. This would be 3/5. We can tell none of the above answer have exactly that slope. Therefore, there must be a typo in your question.
