Answer:
[tex]y = x[/tex]
Step-by-step explanation:
The given equation is
[tex]y = x + 5[/tex]
The slope of this line
[tex]m = 1[/tex]
Since all parallel lines have the same slope, the slope of our line is also m=1.
We now use the point-slope formula
[tex]y-y_1=m(x-x_1)[/tex]
Since the line passes through (-1,-1)
We gave
[tex]x_1=-1,y_1=-1[/tex]
We substitute the slope and point to get
[tex]y - - 1 = 1(x - - 1)[/tex]
[tex]y + 1 = x + 1[/tex]
[tex]y = x[/tex]
