Question

the center of circle has coordinates (2,3) if one end point of diameter has coorsinate (-1,-1) what are the coordinates of the other endpoint?

Answer 1

here is your answer which you want

Answer 2

Since O is thee midpoint of A(x, y) and B(-1,-1)
O=
$(x 1 + x2 \div 2 \: \: and \: \: y1 + y2 \div 2)$
Let's assume that the other coordinate be
A(x, y) and the given coordinate be B(-1,-1)

(2,3) =
$\sqrt{x - 1 \div 2 \: \: and \: \: y - 1 \div 2}$
Now separately equating x and y coordinate
X coordinate =

$x - 1 \div 2 = 2$
$x - 1 = 4$

$x = 5$
Y coordinate =
$y - 1 \div 2 = 3$
$y - 1 = 6$
$y = 7$
Therefore the coordinate of A(x, y) =A(5,7)