The point-slope form of a line always has the form:
![y-y_0=m\cdot(x-x_0)](https://img.qammunity.org/2023/formulas/mathematics/college/i8g59go6j6n5rixgbur5v4ukag3n8l3gt3.png)
"m" represents the slope of the line; in our case, the statement of the problem says that
![m=7](https://img.qammunity.org/2023/formulas/mathematics/college/6j06js4z7ffw4in0gyb0hyodqs2xay0pfs.png)
Besides, (x_0, y_0) is a point of the line. By the statement of the problem (again), we can choose:
![x_0=6,y_0=1](https://img.qammunity.org/2023/formulas/mathematics/college/vy6miwd73nxhg4e844bx2jdh2yj3ifcyyh.png)
Then, the point-slope form becomes:
![y-1=7\cdot(x-6)](https://img.qammunity.org/2023/formulas/mathematics/college/h6yikjjiqf74e69d2jr9glzgfwvimakqop.png)