Question

The midpoint of the line segment between P${}_1$ (x, y) and P${}_2$ (-2, 4) is P${}_m$ (2, -1). Find the unknown coordinate.

• A. (6, -5)
• B. (5, -6)
• C. (6, -6)
• D. (-6, 6)

Answer 1

Answer: (C)

(6, -6)

Given,

$P_m(2,-1),P_1(x,y)$ and $P_2(-2,4)$

$(2,-1)=(\frac{x+(-2)}{2},\frac{y+4}{2})$ ..... By midpoint formula

$\therefore 2=\frac{x+(-2)}{2}$

$=>4=x+(-2)$

$=>x=6$

And,

$-1=\frac{y+4}{2}$

$=>-2=y+4$

$=>y=-6$

$\therefore (x,y)=(6,-6)$