Answer :
Remember, the expression that represents a line is:
[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]As a first step, we can calculate the slope of the line with two of the points given:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{11-2}{1-0}=\frac{9}{1}=9 \end{gathered}[/tex]Now, having the slope and since the y-intercept is given from the table, y-intercept is when x=0.
y-intercept= 2
Then, the equation that represent the table is:
[tex]y=9x+2[/tex]