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

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

Explanation:

Mid point formula:

`x = (x_1+x_2)/(2)\\y = (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 = (x_1-4)/(2)\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}`

`-3 = (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)