Question

The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle?

(-6, 2)
(-2, 4)
(-1, 2)

Answer 1

Answer: C. (-1, 2)

Step-by-step-explanation:

The center is the midpoint of the endpoints

→
`\bigg((x_1+x_2)/(2)` ,
`(y_1+y_2)/(2)\bigg)`

→
`\bigg((-7+5)/(2)` ,
`(3+1)/(2)\bigg)`

→
`\bigg((-2)/(2)` ,
`(4)/(2)\bigg)`

→ (-1 , 2)

The midpoint is (-1, 2)