To find the equation we have to calculate the slope and the intercept with the y axis, and for the slope we choose 2 piont of the table, I picked (14,4) and (35,10) so the slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]and we replace the coordinates
[tex]m=\frac{10-4}{35-14}=\frac{6}{21}[/tex]Now with the slope and one of the points (14,4) we can calculate the intersept with the y axis, rplacing x=0
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-y_1=m(0-x_1) \end{gathered}[/tex]and we replace the slope and the coordinate
[tex]\begin{gathered} y-4=-\frac{6}{21}\cdot14 \\ y=4+4 \\ y=8 \end{gathered}[/tex]So the final equation will be:
[tex]y=\frac{6}{21}x+8[/tex]