Which line is perpendicular to 5y+3y=15?

3x + 5y = 10

10x-6y=18

Y+5=-3

Y=-3x+10

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.