Given the points (3,2) and (8,11)
We will write the point-slope form equation for the line passes through the given points
The slope of the line will be:
[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{11-2}{8-3}=\frac{9}{5}[/tex]The point-slope equation will be:
[tex]y-2=\frac{9}{5}(x-3)[/tex]We can use the second point to write the equation:
[tex]y-11=\frac{9}{5}(x-8)[/tex]