Question

need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.

Answer 1

Answer:

The coordinates of G are: (-8, -10)

Step-by-step explanation:

Mid point formula:

$x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}$

Where,

$(x,y)$ are the coordinates of the mid point of the points $(x_1,y_1)$  and $(x_2,y_2)$.

As per question statement, we are given that:

$x_2=-4\\y_2=4$

and

$x=-6\\y=-3$

To find:

$x_1 = ?\\y_1 = ?$

Solution:

Let us use the mid point formula:

$-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}$

$-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}$

The coordinates of G are: (-8, -10)