Respuesta :

In order to find the equation of the line, using the points given to solve the slope of the line

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} m=\frac{13-9}{3-2} \\ m=\frac{4}{1} \\ m=4 \end{gathered}[/tex]

then, using one of the points find the y-intercept

[tex]\begin{gathered} y=4x+b \\ 9=(4)(2)+b \\ 9=8+b \\ b=9-8 \\ b=1 \end{gathered}[/tex]

The equation of the line is

[tex]y=4x+1[/tex]