Answer:
B (7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ] ← midpoint formula
let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is
[tex]\frac{-2+x}{2}[/tex] = 2.5 ( multiply both sides by 2 )
- 2 + x = 5 ( add 2 to both sides )
x = 7
[tex]\frac{-7+y}{2}[/tex] = - 1.5 ( multiply both sides by 2 )
- 7 + y = - 3 ( add 7 to both sides )
y = 4
Thus
coordinates of B = (7, 4 )
