Hi! Need a help with my homework. Find the equation of the circle that has the center on the line 5x-4y-28=0 and crosses the points A=[1, 5], B=[7, -3]. I found out the equation for point A and B, but...

Hi! Need a help with my homework.

Find the equation of the circle that has the center on the line 5x-4y-28=0

and crosses the points A=[1, 5], B=[7, -3].

I found out the equation for point A and B, but still have 3 unknown values in 2 equations. I am probbably doing something wrong. Am I suppose to use center point of this circle to have the third equation?

Please, be more specific in solution, so I can better understand the topic.

Thank you a lot! Also, have a nice day.