Question

The midpoint of AB‾AB is M(−4,−3)M(−4,−3). If the coordinates of A are (−1,-2)(−1,−2), what are the coordinates of B?

Answer 1

(-7, -4)

Explanation:

The midpoint formula is expressed as;

M (X,Y) = {(x1+x2/2), (y1+y2)/2}

Given that M(-4, -3) and (x1, x2) = (-1, -2)

X = x1+x2/2

-4 = -1+x2/2

-8 = -1 + x2

x2 = -8 + 1

x2 = -7

SImilarly;

Y = y1+y2/2

-3 = -2+y2/2

-3*2 = -2+y2

-6 = -2 + y2

y2 = -6 + 2

y2 = -4

Hence the coordinate of B is (-7, -4)