Subjects algebra

Linear Relation B11731

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1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find an equation that describes the relation between $x$ and $y$. 2. **Analyze the table:** \begin{array}{cc} x & y \\ 0 & 0 \\ 1 & 2 \\ 2 & 4 \\ 3 & 6 \\ 4 & 8 \\ \end{array} 3. **Look for a pattern:** Notice that for each $x$, $y$ is twice $x$. For example, when $x=1$, $y=2$; when $x=2$, $y=4$. 4. **Write the equation:** The relation can be described by the linear equation: $$y = 2x$$ 5. **Explain the formula:** This is a direct variation where $y$ is proportional to $x$ with a constant of proportionality 2. 6. **Summary:** The equation that describes the relation is: $$y = 2x$$