Question

The diameter of circle P has endpoints A(-1, 5) and B(4, -3). Use the midpoint formula to find the coordinates of the center of the circle, P(x,y). P(a0, a1)

Answer 1

Answer: P ( 3/2, - 1 )

Step-by-step explanation: the formulae that defines the midpoint of a line is given below as

x = (x2 + x1)/2 and y = (y2 + y1)/2

Where x and y are the coordinates of the mid point.

Point A is (-1, 5) hence x1 = - 1 and y1 = 5

Point B is (4, -3) hence x2= 4 and y2 = - 3

For x coordinate, we have that 4 + (-1)/2 = 4 - 1/ 2 = 3/2

For y coordinate, we have that - 3 + 5 / 2 = - 2/2 = - 1

Hence, coordinate of midpoint is P ( 3/2, - 1 )