How do you find the general form of the equation of a circle given the center at the point (-3, 1) and tangent to the y-axis?
Please see the explanation for the process. The equation of the circle is:
The general equation for a circle is:
The center is
We are told that the y axis is tangent, therefore, the x coordinate is 0 and the y coordinate is the same as the center, 1. To find the value of r, temporarily substitute the point
The equation of the circle is: