# How do you write an equation with center is (4,-1) and solution point is (1,4)?

##### 1 Answer

Dec 25, 2016

I am going to assume that you want the equation of a circle. Please see the explanation.

#### 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 [1]:

To find the value of r, substitute 1 for x and 4 for y into equation [2], then solve for r:

Substitute 6 for r into equation [2]:

Equation [3] represents the desired circle.