Find the Equation that Relates x and y x=-8 , y=4

Problem

x=−8,y=4

Solution

1. Identify the relationship between the two given values by comparing their ratio or sum.

2. Calculate the ratio of y to x to determine if there is a direct variation of the form y=k*x

k=y/x

3. Substitute the given values x=−8 and y=4 into the ratio formula.

k=4/(−8)

4. Simplify the fraction to find the constant of proportionality.

k=−1/2

5. Write the final equation by substituting the value of k back into the direct variation model y=k*x

y=−1/2*x

Final Answer

y=−1/2*x

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