(6) Which equation shown below shows a linear relationship between \( x \) and \( y \) ?
(A) \( y=3 x+4 \)
(B) \( y=1 / 2 x^{2}-1 \)
(C) \( 2 x^{2}+y=5 \)
(D) \( y=\frac{2}{x} \)

Answer

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Answer

\(\text{The other equations have either square terms or fractions containing } x \text{ in the denominator}\)

Steps

Step 1 ：\(\text{A linear relationship between } x \text{ and } y \text{ is represented by an equation of the form } y = m x + b\)

Step 2 ：\(\text{Checking each equation, only (A) fits this form: } y = 3x + 4\)

Step 3 ：\(\text{The other equations have either square terms or fractions containing } x \text{ in the denominator}\)