Answer:
B (10, 9 )
Explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint (M) is
M (
,
) ← midpoint formula
use the formula to find the x and y coordinate by equating to the corresponding coordinates of M.
let (x₁, y₁ ) = A (4, 1 ) and (x₂, y₂ ) = B (x, y ) ← to be found
= 7 ( multiply both sides by 2 to clear the fraction )
4 + x = 2 × 7 = 14 ( subtract 4 from both sides )
x = 10
and
= 5 ( multiply both sides by 2 to clear the fraction )
1 + y = 2 × 5 = 10 ( subtract 1 from both sides )
y = 9
coordinates of B = (10, 9 )