Question

If M(x, y) is the midpoint of segment AB with A(4, 6) and B(−8, −12), then which Quadrant is M located in?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
.i got quadrant IV an i right?..

Answer 1

iii

Answer 2

thank you (:

Answer 3

@Bailey,
do u know how and why your ans is wrong???

Answer 4

mid point formula says coordinates of mid point are

x1 + x2 y1 + y2
------- , ---------
2 2

in your case x1 + x2 = 4 + (-8) = -4

x1 + x2 -4
------- = ---- = -2
2 2

y1 + y2 6 + (-12) -6
------- = ---------- = ------ = -3
2 2 2


so your mid point coordinates are (-4, -3) i.e. both negatives so it will lie in the IIIrd quadrant