Question

If origin is the midpoint of the line segment joining points (2,3) and (x,y), then find the value of x and y

Answer 1

$\textbf{Given:}$

$\text{ (0,0) is the midpoint of (2,3) and (x,y) }$

$\textbf{To find:}$

$\text{The values of x and y}$

$\textbf{Solution:}$

$\text{We know that,}$

$\text{The midpoint of the line joining (x_1,y_1) and (x_2,y_2) is}$

$\boxed{(\bf\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})}$

$\text{ (0,0) is the midpoint of (2,3) and (x,y) }$

$\implies\,\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})=(0,0)$

$\implies\,\dfrac{2+x}{2},\dfrac{3+y}{2})=(0,0)$

$\implies\,2+x=0,\;\;3+y=0$

$\implies\bf\,x=-2,\;\;y=-3$

$\therefore\textbf{The values of x and y are -2 and -3}$

Find more:

Coordinates of the midpoint of the line segment joining the point (3, 7) and (5, 9) is​

https://brainly.in/question/15791710

The mid points of the line segment joining the points (-5,7) and (-1,3) is a) (-3, 7) b) (-3, 5) C) (-1, 5) d) (5, -3) ​

https://brainly.in/question/15816454

Answer 2

hope it helps u !!!!

mark me as brainliest if possible