Question

Question #78376

Answer 1

Coordinates of `Y are color (red)(-4, 7)`

Explanation:

Given `X (4,5), M(0,6)` and M is the midpoint of X & Y.

To find Y

`M_x = (X_x + Y_x) / 2`

`Y_x = 2M_x - X_x = (2*0) - 4 = -4`

Similarly,
`Y_y = 2M_y - X_y = (2*6) - 5) = 7`

Coordinates of `Y are color (red)(-4, 7)`

Answer 2

`Y(-4,7)`

Explanation:

`"M is the midpoint of XY"`

`rArrvec(XM)=vec(MY)`

`rArrulm-ulx=uly-ulm`

`rArruly=2ulm-ulx`

`color(white)(rArruly)=2((0),(6))-((4),(5))`

`color(white)(rArruly)=((0),(12))-((4),(5))=((-4),(7))`

`rArrY=(-4,7)`