Write an equation in the form $y=m x+b$ for the following table: \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-8 & -37 \\ \hline-6 & -25 \\ \hline-4 & -13 \\ \hline-2 & -1 \\ \hline 0 & 11 \\ \hline 2 & 23 \\ \hline 4 & 35 \\ \hline 6 & 47 \\ \hline \end{tabular} \[ y= \] Calculator

Step 1 ：The equation of a line in the form \(y = mx + b\) is determined by the slope (m) and the y-intercept (b). The slope can be calculated by taking any two points from the table and using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\). The y-intercept (b) is the value of y when x is 0. From the table, we can see that when x is 0, y is 11. So, b = 11.

Step 2 ：Let's calculate the slope using the first two points in the table: (-8, -37) and (-6, -25).

Step 3 ：m = 6.0

Step 4 ：b = 11

Step 5 ：The slope of the line is 6 and the y-intercept is 11. Therefore, the equation of the line in the form \(y = mx + b\) is \(y = 6x + 11\).

Step 6 ：Final Answer: \(\boxed{y = 6x + 11}\)