Find the equation of the linear function represented by the table below in slopeintercept form. \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-3 & 0 \\ \hline 1 & 4 \\ \hline 5 & 8 \\ \hline 9 & 12 \\ \hline \end{tabular}

Step 1 ：The slope-intercept form of a linear equation is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y-intercept.

Step 2 ：The slope can be calculated by taking the difference in the y-values divided by the difference in the x-values for any two points on the line.

Step 3 ：The y-intercept can be found by substituting the slope and one of the points into the equation and solving for \(b\).

Step 4 ：Calculate the slope \(m\) as 1.0

Step 5 ：Calculate the y-intercept \(b\) as 3.0

Step 6 ：The slope of the line is 1.0 and the y-intercept is 3.0. Therefore, the equation of the line in slope-intercept form is \(y = 1.0x + 3.0\).

Step 7 ：Final Answer: The equation of the line is \(\boxed{y = x + 3}\).