Answer:
B (1, 8 )
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] )
with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )
Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is
[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )
- 3 + x = - 2 ( add 3 to both sides )
x = 1
[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Then point B = (1, 8 )
