The slope of the line joining the points (1,1) and (7,5) is 2/3
Here, we want to find the slope of the line that passes through these two points
To get this, we use the equation of the slope
This is;
![m\text{ = }(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/sukh4lu5s7fgiz5v423o6usjd9gul4kfrj.png)
From the question;
![\begin{gathered} (x_1,y_1)\text{ = (1,1)} \\ (x_2,y_2)\text{ = (7,5)} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/6xgckzeroa5ujr9d2zd3qz4ek184si4wjr.png)
Substituting these values, we have;
![m\text{ = }(5-1)/(7-1)\text{ = }(4)/(6)=\text{ }(2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wm6z2rgcxbpd20rb1vk7wgdlx34pu90o1l.png)