5/3y=-(x-5) in slope intercept form

The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept

y=mx+b

simplify -(x-5)

5/3y=-x+5

find the lcd of the terms in the equation

3y

multiply each term by 3y and simplify

5=-3xy+15y

y = - 5/3(x-5)

Yes, the first term applies to the the first term in the statement , so for example, 

'The ratio of apples to oranges in the box is 2:5'

The 2 applies to the apples, and the 5 applies to the oranges. 

If the question was misread, it could be interpreted as 5 apples to 2 oranges, which is wrong.