Its very simple\
To find the values of x2 and y2 for point G(0,0) when you are given that G is the midpoint of points (x1, y1) and (x3, y3), you can use the midpoint formula:
Midpoint formula:
(x, y) = ((x1 + x3) / 2, (y1 + y3) / 2)
Given:
(x1, y1) = (2, 3)
G(0, 0)
Plug these values into the midpoint formula:
(0, 0) = ((2 + x3) / 2, (3 + y3) / 2)
Now, solve for x3 and y3:
For x3:
0 = (2 + x3) / 2
Multiply both sides by 2 to isolate x3:
0 = 2 + x3
Subtract 2 from both sides to find x3:
x3 = -2
For y3:
0 = (3 + y3) / 2
Multiply both sides by 2 to isolate y3:
0 = 3 + y3
Subtract 3 from both sides to find y3:
y3 = -3
So, the values are:
x3 = -2
y3 = -3
Therefore, the coordinates for point (x2, y2) are:
x2 = 3
y2 = -3