Question

Geometry!! Help!!

M is the midpoint of AB¯¯¯¯¯. M has coordinates (-3, -8) and B has coordinates (-1, 6). What are the coordinates of point A?
a. (-5, -22)
b. (-4, -1)
c. (1, 20)
d. (5, 22)

Answer 1

the equation to solve this type of question is :

( x1 + x2 ) divided by two = x value of coordinate

( y1 + y2 ) divided by 2 = y value of coordinate

together these equation will give you an answer for ( x , y )

in this case we would set it up like this :

x1 + x2 divided by two would look like this :

(x + -1) / 2 = -3

(x+ -1) = -6

x = -5

now solve for y

y1 + y2 divided by two :

(x+6) / 2 = -8

(x+6) = -16

x = -22

so the answer would be ( -5, -22 ) which is answer A