Question

If M(x, y) is the midpoint of AB with A(4, 6) and B(-8, -12), then which Quadrant is M located in?
(Points : 1)

Answer 1

just
find the mid X point (halfway between the2 X ordinates)
find the mid Y point(halfway between the2 Y ordinates)

this gives the (x,y) coordinates of the midpoint

You can plot this, or look a the sign of the 2 values to tell which quadrant it is in

Answer 2

by mid -pnt. formula
\[M(\frac{ x _{1}+x _{2} }{ 2 },\frac{ y _{1}+y _{2} }{ 2})\]
{4+(-8)}/2=-2=x
[6+(-12)]/2=-3=y
M(-2,-3)
so both x& y coordinates are negative
hence 4th quadrant