Learning Assessment Analytics Math Science 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 Submit Not feeling 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 \(\boxed{y = -3x}\).