Answer:

Step-by-step explanation:
So, we know that the center of the circle is at (-6, -7/6). 
To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis. 
Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0). 
So, find our distance by subtracting our x-values: 

Subtract: 

So, our distance, which is also our radius, will be 7/6. 
Now, we can use the standard form for a circle, which is: 

Where (h, k) is the center and r is the radius. 
Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields: 

We can confirm by graphing (using a calculator):