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Special Linear Relationships

Question 3 • GA-Algebra: Concepts and Connections A

Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation? | Complete the steps to write the equation of direct variation.

Answer
A
= –2y
B
x = (–1/2)y
C
y = –2x
D
y = (–1/2)x

Explanation

In a direct variation, y = kx, where k is the constant of variation. Use the given values to find k: k = y/x = −4/8 = −1/2. Therefore, the equation is y = (−1/2)x, which is choice D.

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