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Writing Linear Equations

Question 1 • AZ-Algebra 1A (MA101)

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
k = –4(8)
B
–4 = k(8)
C
8 = k(–4)

Explanation

Direct variation has the form y = kx. Substituting y = −4 and x = 8 gives −4 = k(8), which is choice B. Solving gives k = −1/2, so the equation of direct variation is y = −(1/2)x.

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