Answer:
(-1,5)
Step-by-step explanation:
Let the coordinates of point A be (a,b).
We have that B is at (-5,1)
Assuming M(-3,3) is the midpoint of the segment AB, then
[tex](-3, 3 )= ( \frac{a + - 5}{2}, \frac{b + 1}{2} )[/tex]
This means that:
[tex]- 3 = \frac{a + - 5}{2}[/tex]
and
[tex]3 =\frac{b + 1}{2}[/tex]
This implies that 2*-3=a-5 and 3*2=b+1
-6=a-5 and 6=b+1.
a=5-6 and b=6-1
a=-1 and b=5.
Therefore the coordinates of A are:
(-1,5)
