Question

Find the coordinates of G if F(2,5) is the midpoint of line GJ and J and has coordinates (-2,8)

Answer 1

Answer:

G(6,2)

Step-by-step explanation:

If point $F(x_F,y_F)$ is the midpoint of the segment GJ, where $G(x_G,y_G)$ and $J(x_J,y_J)$, then

$x_F=\dfrac{x_G+x_J}{2},\\ \\y_F=\dfrac{y_G+y_J}{2}.$

In your case,

$F(2,5),\ J(-2,8),$

therefore,

$2=\dfrac{x_G+(-2)}{2},\\ \\5=\dfrac{y_G+8}{2}.$

Thus,

$x_G-2=4\Rightarrow x_G=6,\\ \\y_G+8=10\Rightarrow y_G=2.$