Question

The coordinates of the midpoint of GH are M(-2,5) and the coordinates of one endpoint are H(-3, 7).

The coordinates of the other endpoint are(
).
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What are the coordinates of the other endpoint

Answer 1

The coordinates of point G are (-1,3)

Explanation:

we know that

The formula to calculate the midpoint between two points is equal to

`M=((x1+x2)/(2),(y1+y2)/(2))`

we have

`M(-2,5)`

`(x2,y2)=H(-3,7)`

substitute and solve for (x1,y1)

`M(-2,5)=((x1-3)/(2),(y1+7)/(2))`

so

`-2=(x1-3)/(2)` ---->
`x1=-4+3` --->
`x1=-1`

`5=(y1+7)/(2)` --->
`y1=10-7` ---->
`y1=3`

therefore

The coordinates of point G are (-1,3)