Question

Given A (-6,4) and M(-1, -1) find B.
1) (6,4)
2) (-6, -4)
3) (-4, 6)
4) (4, -6)

Answer 1

Use mid-point formula. (-6 +x)/2= -1 and (4 + y)/2 + -1. Solve for x and y.

Answer 2

Find the distance to the midpoint, then just go twice that value to get to the other end.
For x:
Mx-Ax= (-1-(-6))=5, then just add 5 to the midpoint, so -1+5=4
for y:
My-Ay=(-1-(4))=-5, then just add -5 to the midpoint, so -1-5=-6
Result is (4,-6)

Answer 3

That would give you the length, but not the coordinates of the point.