How do you write an equation for a circle with center (-8, -5) and tangent (touching at 1 point) to the y-axis?
Please see the explanation.
The standard form of the equation of a circle is:
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: