The standard equation for a circle whose center is on a straight line 5x-3y = 8 and tangent to two coordinate axes

The standard equation for a circle whose center is on a straight line 5x-3y = 8 and tangent to two coordinate axes

If x = y, then x = y = 4; if x = - y, then x = 1, y = - 1, then the center of the circle is (4,4) or (1, - 1) because the radius is the distance from the center of the circle to the tangent line, that is, the center of the circle is (4,4)