If a circle has a diameter with endpoints of (-3, 0) and (5, 4) then the equation of the circle is?

(x - 1)² + (y - 2)² = 20

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given the endpoints, then the centre is at the midpoint

C = [ , ] = (1, 2 )

The radius is the distance from the centre to either of the 2 endpoints.

Use the distance formula to find r

r =

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ )= (- 3, 0)

r =

  =

  =

  =

Thus equation of circle is

(x - 1)² + (y - 2)² = ( )² , that is

(x - 1)² + (y - 2)² = 20

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

the answer is d

step-by-step explanation: