There are a couple of things wrong with your question. First, it isn't clear if the equation is y = -4/(3x+5) or y = (-4/3x) + 5. I'm going to assume it's y = -4/(3x+5). Second, you did not provide the list of "the following ordered pairs", but no matter; here's how you can solve it.
Take the x value in each ordered pair and plug it into the equation and compute the y-value. If it's the same as the y-value in the ordered pair, then it is a solution. If it isn't, it isn't a solution.
For example, suppose one of the ordered pairs is (1,-1/2). Plug x = 1 into the equation:
y= -4/(3x+5)
y = -4/(3·1+5)
y = -4/8
y = -1/2
Yup, (1,-1/2) is a solution.
