Answer:
[tex]y=-x+11[/tex]
Step-by-step explanation:
We know that the new equation must be parallel to [tex]y=-x-5[/tex].
Therefore, since they are parallel, the slope of the new equation must be the same as the old.
The slope of the original equation is -1.
Therefore, the slope of our new equation is also -1.
We also know that it has a y-intercept at (0, 11).
And as determined earlier, it has a slope of -1.
So, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We will substitute -1 for m and 11 for b. Thus, our equation is:
[tex]y=-x+11[/tex]
