Final answer:
The given relation 5x = 5 - 5y is a function because each x value has a unique corresponding y value.
Step-by-step explanation:
The given relation is 5x = 5 - 5y. To determine whether this is a function or not, we need to check if each x input corresponds to a unique y output. We can rearrange the equation to solve for y: 5y = 5 - 5x, y = (5 - 5x)/5, y = 1 - x.
This equation represents a straight line with a slope of -1 and a y-intercept of 1. Since each x value will have a unique corresponding y value, the relation is a function.
Therefore, the given relation 5x = 5 - 5y is a function.