<span>Remember that it's against our guidelines to copy content from other websites, books or any other material to which you don't own the rights to. We know you have the power to solve these problems on your own</span>

4 0

3 years ago

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 poi

Scrat [10]

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 )

7 0

3 years ago