# How do you write an equation for a circle with center (-8, -5) and tangent (touching at 1 point) to the y-axis?

##### 1 Answer

Nov 25, 2016

Please see the explanation.

#### Explanation:

The standard form of the equation of a circle is:

where

Substitute the given center into the equation:

Because the radius drawn to the point of tangency is always perpendicular, the point of tangency with the y axis must be

Substitute this point into the circle:

The equation for the circle is: