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IXL Spotlight - Algebra 1 > C.7 Write a linear function from a table UVY
Write the linear equation that gives the rule for th
\begin{tabular}{|c|c|}
\hline$x$ & $y$ \\
\hline 0 & 0 \\
\hline 1 & -3 \\
\hline 2 & -6 \\
\hline 3 & -9 \\
\hline
\end{tabular}
Write your answ@r as an equation with y first, follov
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Write a linear equation from two points

Step 1 ：The question is asking for a linear equation that fits the given table of values. A linear equation is of the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 ：From the table, we can see that as \(x\) increases by 1, \(y\) decreases by 3. This suggests that the slope of the line, \(m\), is -3.

Step 3 ：The y-intercept is the value of \(y\) when \(x\) is 0. From the table, we can see that when \(x\) is 0, \(y\) is also 0. So, the y-intercept, \(b\), is 0.

Step 4 ：Therefore, the linear equation that fits the given table of values is \(y = -3x + 0\), or simply \(y = -3x\).

Step 5 ：Final Answer: The linear equation that fits the given table of values is \(\boxed{y = -3x}\).