0
-2x-6y=6
can be written as
-6y=2x+6 or y=-2/6x-1
This tells us the y intercept is 1.
You can also plug in x=0 to find the y intercept.
So when you replace x with 0 in
-2x-6y=6 you have
-6y=6 so y=-1 again
Now to find the x intercept, let y be 0
so
0=2x+6 or -6=2x which tells us x=-6/2 or -3 and this is the y intercept.
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