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Equation: y = -1/4x

Step-by-step explanation:

Let's consider the relationship x and y:

As we can see in a graph, the line demonstrated by the table would pass at a given point where x = 0 and y = 0. This signifies that the graphical representation passes through the origin and the equation thus doesn't have a y-intercept. Let's take a look at the other coordinates as well. The first example, being that    x = -8 and y = 2 suggests that here, if x = 8, the equation could be such: y = 0.25x. Instead, the negative in the 8 brings us to another equation: y = -0.25x. Now let's see if the other coordinates have the same result. The y-coordinates increase by 1 proportionally, and the x-coordinates increase by 4 such that they form a linear graph and thus can be represented by a constant equation: y = -0.25x.

step-by-step explanation: