How do you write an equation with center is (4,-1) and solution point is (1,4)?
I am going to assume that you want the equation of a circle. Please see the explanation.
The standard Cartesian form for the equation of a circle is:
where x and y are any point,
Substitute 4 for h and -1 for k into equation :
To find the value of r, substitute 1 for x and 4 for y into equation , then solve for r:
Substitute 6 for r into equation :
Equation  represents the desired circle.