Write the standard form of The equation of the circle with the given characteristics. Endpoints of a diameter: (2,4) , (-12,-14)

Answer 1

Hi Lala L

Given the endpoints of the circle’s diameter, (2,4) and (-12,-14)

Use the midpoint formula to calculate the coordinates of the center

(x_1,+ x₂)/2

and

(y₁+y₂)/2

You can use the distance between two points to calculate the length of the diameter, and divide that in half to find the radius.

You could also plug in the given coordinates to check it.

You can graph your circle at desmos.com

I got

(x + 5)² + (y + 5)² = 130 can you check this?