Answer:
b = (- 7, 10 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ (x₁ + x₂ ),
(y₁ + y₂ ) ]
let the coordinates of b = (x, y ) then use the formula and equate to the coordinates of the midpoint, that is
(x + 3) = - 2 ( multiply both sides by 2 )
x + 3 = - 4 ( subtract 3 from both sides )
x = - 7
(y - 2) = 4 ( multiply both sides by 2 )
y - 2 = 8 ( add 2 to both sides )
y = 10
Thus the coordinates of b are (- 7, 10 )