Respuesta :

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.