Find the standard form of the equation of the circle with endpoints of a diameter at the points (7,8) and (-3,6). Type the standard form of the equation of this circle​

The equation of the circle is

Step-by-step explanation:

Equation of a circle:

The equation of a circle, with center and radius r is given by:

Distance between two points:

Suppose that we have two points, and . The distance between them is given by:

Diameter at the points (7,8) and (-3,6).

The diameter is the distance between these two points, so:

Radius is half the diameter, so:

So

Center:

Midpoint of the diameter, which is the mean of the coordinates. So

Then

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.