The slope-intercept form of the equation of a straight line is given as shown below:
[tex]y=mx+b[/tex]where
[tex]\begin{gathered} m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}[/tex]Let us calculate the parameters from the table:
SLOPE:
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]We can pick a pair of ordered points from the table as shown below:
[tex]\begin{gathered} (x_1,y_1)\to(1,7) \\ (x_2,y_2)\to(9,31) \end{gathered}[/tex]Therefore, we can calculate the slope to be:
[tex]\begin{gathered} m=\frac{31-7}{9-1} \\ m=\frac{24}{8} \\ m=3 \end{gathered}[/tex]