Mathematics: The midpoint of wx is m(-2, -4). one endpoint is w(0, -6). find the coordinates of the other endpoint x

The midpoint of wx is m(-2, -4). one endpoint

mmmmm96061

01.01.2022

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

Step-by-step explanation:

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

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

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,

$(\frac{0+x}{2},\frac{-6+y}{2})$

According to the question,

$(\frac{0+x}{2},\frac{-6+y}{2})=(-2,-4)$

By comparing,

$\frac{0+x}{2}=-2\implies x = -4$

$\frac{-6+y}{2}=-4$

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

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

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