Question

Point M(5, 2) is the midpoint of segment XY. Point X has coordinates

Answer 1

Answer:

Y (14, - 2 )

Step-by-step explanation:

using the midpoint formula for (x₁, y₁ ) and (x₂, y₂ ) , then

midpoint = ( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1+y_{2} } }{2}$ )

equating the x- coordinates and the y- coordinates

let coordinates of Y = (x, y )

$\frac{x-4}{2}$ = 5 ( multiply both sides by 2 )

x - 4 = 10 ( add 4 to both sides )

x = 14

and

$\frac{y+6}{2}$ = 2 ( multiply both sides by 2 )

y + 6 = 4 ( subtract 6 from both sides )

y = - 2

coordinates of Y = (14, - 2 )

Answer 2

Answer:

(14, -2)

Step-by-step explanation:

The coordinates of the midpoint is equal to the mean of the coordinates of the endpoints.

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Solving :

⇒ 5 = -4 + x / 2

⇒ x - 4 = 10

⇒ x = 14

⇒ 2 = 6 + y / 2

⇒ y + 6 = 4

⇒ y = -2

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Coordinates of Point Y :

⇒ Y = (x, y)

⇒ Y = (14, -2)