Answer:
y=-8
Step-by-step explanation:
So if you draw a circle with center at the origin (0,0) with radius 8.
So we have:
That means the radius stretches to (0,-8); down 8 units from (0,0).
The radius stretches to (0,8); up 8 units from (0,0).
The radius stretches to (8,0); right 8 units from (0,0).
The radius stretches to (-8,0); left 8 units from (0,0).
We are looking for a line tangent to our circle at (0,-8). Since this was down 8 units. Then our equation is horizontal and y=a number. They-coordinate in (0,-8) is -8, so the we have y=-8.
If someone said tangent at (0,8), we would have said y=8 .
If someone said tangent at (8,0), we would have said x=8.
If someone said tangent at (-8,0), we have have said x=-8.