Respuesta :

Space

Answer:

The midpoint of the line segment BC is A) (0, 1/2).

General Formulas and Concepts:
Algebra I

Coordinate Planes

  • Coordinates (x, y)

Midpoint Formula:
[tex]\displaystyle (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[Graph] Point B(-2, 3)

[Graph] Point C(2, -2)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

  1. [Midpoint Formula] Substitute in points B and C:
    [tex]\displaystyle (\frac{-2 + 2}{2},\frac{3 - 2}{2})[/tex]
  2. Evaluate:
    [tex]\displaystyle (0, \frac{1}{2})[/tex]

∴ we have computed the value of the midpoint to be (0, 1/2).

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Topic: Algebra I

MidnightShowers

Answer:

heya! ^^

the question asks us to find the mid point of the line joining points B and C on the graph.

the coordinates of point B are ( -2 , 3 )

the coordinates of point C are ( 2 , -2 )

______________________________________

let's start ~

let the coordinates of the midpoint of line segment BC be P ( x , y )

[tex]Applying \: mid \: point \: formula , \\ \\ P(x , y) = ( \frac{ x_{1} + x_{2} }{2} \: , \: \frac{ y_{1} + y_{2} }{2} ) \\ \\ P(x , y) = ( \frac{ - 2 + 2}{2} \: , \: \frac{ 3 + ( - 2)}{2} ) \\ \\ P(x , y) = ( \frac{0}{2} \: , \: \frac{1}{2} ) \\ \\ P(x , y) = (0 \: , \: \frac{1}{2} )[/tex]

hence ,

option ( A ) is correct.

hope helpful :D

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