with the table we can se if the points have a slope with the formula:
[tex]m=\frac{y_2-y_1_{}_{}}{x_2-x_1}[/tex]
and we replace the values in the table so:
[tex]\begin{gathered} m=\frac{19-14}{4-3}=5 \\ m=\frac{29-24}{6-5}=5 \end{gathered}[/tex]
so the slope is constante, now we can find the intercept with the y axis like:
[tex]5=\frac{y-24}{0-3}[/tex]
and we solve for y so:
[tex]\begin{gathered} -15=y-24 \\ y=24-15 \\ y=9 \end{gathered}[/tex]
So this is a function, and the formula is:
[tex]y=5x+9[/tex]
