Question

point A is at (-2,-7)and point M is at(2.5,-1.5). Point M is the midpoint of point A and point B.what are the coordinates of point B?

Answer 1

Answer:

B (7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ ] ← midpoint formula

let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is

$\frac{-2+x}{2}$ = 2.5 ( multiply both sides by 2 )

- 2 + x = 5 ( add 2 to both sides )

x = 7

$\frac{-7+y}{2}$ = - 1.5 ( multiply both sides by 2 )

- 7 + y = - 3 ( add 7 to both sides )

y = 4

Thus

coordinates of B = (7, 4 )