Question

The midpoint of AB is M(-3, 2). If the coordinates of A are (-5, -4), what are the coordinates of B?

Answer 1

hi

as Midpoint coordonates are :

M ( (X1+X2) /2 ; ( Y1+Y2) /2 )

As X1 = -5

X2 = ?

Y1 = -4

Y2 = ?

But we know the coordonates of M,

we have :

(- 5 + X2 ) / 2 = -3

( -4 +Y2) /2 = -4

so :

(- 5 + X2 ) / 2 = -3

-5 + X2 = -6

X2 = -6 +5

X2 = -1

( -4 +Y2) /2 = 2

-4 + Y2 = 4

Y2 = 4 +4

Y2 = 8

So point B ( -1 ;8)