Answer:
The coordinates of X are (-4,-2).
Step-by-step explanation:
Since, the coordinates of the midpoint of a line having endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
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,
[tex](\frac{0+x}{2},\frac{-6+y}{2})[/tex]
According to the question,
[tex](\frac{0+x}{2},\frac{-6+y}{2})=(-2,-4)[/tex]
By comparing,
[tex]\frac{0+x}{2}=-2\implies x = -4[/tex]
[tex]\frac{-6+y}{2}=-4[/tex]
[tex]\implies -6+y=-8\implies y = -8 + 6 = -2[/tex]
Hence, the coordinates of X are (-4,-2).
