Answer:
the lines equation would be
![y=x+5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aszul5xk49yqjtc3mm84k2wh25yf8h8au1.png)
Explanation:
The line that it is parallel to has a slope of 1. This is because in the formula y=mx+b, m means slope.If you turn the equation x-y=4, you are left with y=1x-4
That means the slope is 1
Lines that are parallel to eachother have the same slope
To find the y intercept, aka b, you know that you are increasing at the same rate for x and y because it is a 1/1 ratio.
-6 plus 6 leaves you with 0/ -1 plus 6 leaves you with 5
the y-int is 0,5
Now the final equation is y=1x + 5