# How do you write the equation for a circle having center on the line 3x-2y-22=0 and tangent to the y-axis at (0,1)?

##### 1 Answer

Dec 4, 2016

#### Answer:

Please see the explanation for steps leading to the equation:

#### Explanation:

Given that the circle is tangent to the y axis at the point

Substitute 1 for y in the given equation:

The center of the circle is

The equation of a circle is:

Substitute 0 for x, 8 for h, 1 for y, and 1 for k:

Solve for r:

The equation of the circle is: