Problem

(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) \( y=\frac{2}{x} \)

Solution

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

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Source: https://solvelyapp.com/problems/20916/

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