Question

Could someone explain me ... I would appreciate . Thank you

Answer 1

I probably think that the answer is D!

Answer 2

The midpoint is the average of the coordinates.

Let the coordinates of J be
`(x,y)`


`M = \frac 1 2(J+ K)`


`(-6,-2) = \frac 1 2( (x,y)+ (-2,4))`

That's really two equations:


`-6 = \frac 1 2 (x + -2)`


`-12 = x + -2`


`x = -10`


`-2 = \frac 1 2(y+4)`


`-4 = y+4`


`y=-8`

So we have J(-10,-8)

Check:


`( (-10+-2)/2, (-8+4)/2)=(-6,-2) \quad\checkmark`