Use rise over run to find the slope.
Rise over run uses the following formula:
[tex] \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Plug in the points' values into the equation:
(1,5) U (6,7)
[tex] \frac{7 - 5}{6 - 1} = \frac{2}{5}[/tex]
The slope of this line is 2/5.