Question

In circle C, A (6,-3) and B (-2,5) are the endpoints of the diameter. Find the center of the circle, the length of the Diameter and the slope of the diameter.

Please help me I don’t understand this.

Answer 1

Centre: (2,1)

Length: 8sqrt(2)

Slope: -1

Explanation:

Centre: midpoint of the diameter

(6-2)/2, (-3+5)/2

= (2,1)

Length: sqrt[(-3-5)² + (6--2)²]

sqrt(64 + 64)

8sqrt(2)

Slope: (-3-5)/(6--2) = -8/8 = -1