We can rewrite the equation of the given line to be in slope-intercept form as follows.
![x-y=7\\x=y+7\\y=x-7](https://img.qammunity.org/2023/formulas/mathematics/college/q1xgnpxxjo1pv1cy93b0eb1gn7gdpimgoq.png)
Thus, the slope of the given line is 1.
Since parallel lines have equivalent slopes, the slope of the line we want to find is also 1.
Substituting into point-slope form,
![y-0=1(x-1)\\\\\boxed{y=x-1}](https://img.qammunity.org/2023/formulas/mathematics/college/5uu60jgyv8sd65sqf9i7bfzl60284tt41q.png)