Hello, it's me again!
Once again, isolate 'y' to make it into y = mx + b form.
-x + y = -6
y = x - 6
Your y-intercept is -6.
Now, flip flop the equation and solve for 'x'. Once you have it in the x = my + b form, 'b' is the x intercept.
-x + y = -6
-x = -y - 6
x = y + 6
Your x-intercept is 6.