X is the midpoint of AB. B has coordinates (12,−7), and X has coordinates (3,−1). Identify the coordinates of A.

A (- 6, 5 )

Step-by-step explanation:

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

( , )

let (x₁, y₁ ) = A (x, y ) and (x₂, y₂ ) = B (12, - 7 )

Find the midpoint of AB using the above formula and equate each value to the coordinates of the midpoint X (3, - 1 )

  = 3 ( multiply both sides by 2 )

x + 12 = 6 ( subtract 12 from both sides )

x = - 6

= - 1 ( multiply both sides by 2 )

y - 7 = - 2 ( add 7 to both sides )

y = 5

Coordinates of A (- 6, 5 )

answer: 59

step-by-step explanation: