For this case we have that, the equation of the line in slope intercept form is given by:
![y = mx + b](https://img.qammunity.org/2020/formulas/mathematics/high-school/fc4cgm6covys37zv2opmmp9ps4jxyjepvh.png)
Where:
m is the slope
b is the cut point with the y axis
If we have:
![y-1 = -7 (x-3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ruo0m3qp7cfevhavwnkbv95srqet0ngeyg.png)
We take it in the form
we have:
Knowing that
and applying distributive property to the terms of the parenthesis:
![y = -7x + 21 + 1\\y = -7x + 22\\So,\ b = 22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a2zurvgner98c3no29jg6rgd2bdet6p2wf.png)
Answer:
Option D