Question

What is the center of the circle that has a diameter whose endpoints are (2, 7) and (-6, -1)?
A.(4,3)
B.(-2,4)
C.(-2,3)

Answer 1

The centre is the mid-point of the line segment joining (2,7) and (-6,-1).
Do you know how to find the midpoint of a line segment?

Answer 2

no can you explain

Answer 3

@mathmate

Answer 4

The coordinates of the mid point between two segments can be found be the average of each of the x and y coordinates.

Answer 5

so im thinking its 4,3

Answer 6

How did you find (4,3)?

Answer 7

idk i need help

Answer 8

What is the x-coordinate of (2,7), and what is the y-coordinate?

Answer 9

x=2 y=7

Answer 10

How about (-6,-1)?

Answer 11

x=-6 y=-1

Answer 12

Good, so can you now find the average of x and y coordinates from these two points?

Answer 13

-4,6

Answer 14

The y-coordinate is correct. You may want to check on the x-coordinate.

Answer 15

-2?

Answer 16

no just 4

Answer 17

one x=2 and the other x=-6.
So the average is (2+ -6)/2 = (2-6)/2 = -4/2 = -2

Answer 18

oh okay