Answer:
y = x + 2
Step-by-step explanation:
Parallel lines have the same slope. If the line y = x is parallel to it then the slope for both lines is 1.
To write the equation, substitute m = 1 into the point slope form with (-6,-4).
[tex]y - y_1 = m(x-x_1)\\y --4 = 1(x--6)\\y + 4 = (x+6)\\y = x +2[/tex]