Step-by-step explanation:
Hey there!!!
Here,
The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).
Now,
Using midpoint formulae,
[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]
Put all values.
[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]
As they are equal, equating with their corresponding elements we get,
[tex] - 3 = \frac{ - 8 + x}{2} [/tex]
Simplify them.
[tex] - 6 = - 8 + x[/tex]
[tex]x = - 6 + 8[/tex]
Therefore, x= 2
Now,
[tex] - 3 = \frac{ - 2 + y}{2} [/tex]
Simplify them.
[tex] - 6 = - 2 + y[/tex]
[tex]y = - 6 + 2[/tex]
Therefore, y = -4.
Therefore, the coordinates of B are (2,-4).
Hope it helps...
