Question

The midpoint of WX is M(-2, -4). One endpoint is W(0, -6). Find the coordinates of the other endpoint X

Answer 1

the answer is (-4,-2)

Answer 2

The coordinates of X are (-4,-2).

Explanation:

Since, the coordinates of the midpoint of a line having endpoints
`(x_1,y_1)` and
`(x_2,y_2)` are,

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

Given,

One endpoint is W(0, -6),

Let the coordinates of X are (x,y),

Thus, the coordinates of the mid point of the line WX are,

`((0+x)/(2),(-6+y)/(2))`

According to the question,

`((0+x)/(2),(-6+y)/(2))=(-2,-4)`

By comparing,

`(0+x)/(2)=-2\implies x = -4`

`(-6+y)/(2)=-4`

`\implies -6+y=-8\implies y = -8 + 6 = -2`

Hence, the coordinates of X are (-4,-2).