The center of circle W is located at (-4, 2). Point X , located at (1, 2) lies on the circle. Which point is also located on circle W that represents the location of the other end of the diameter?

Respuesta :

Answer:

(-9, 2)

Explanations:

Note that the coordinates of the center of a line are given by the formulae:

[tex]\begin{gathered} a\text{ = }\frac{x_1+x_2}{2} \\ b\text{ = }\frac{y_1+y_2}{2} \end{gathered}[/tex]

The center of the line (a, b) = (-4, 2)

The first point on the line (x₁, y₁) = (1, 2)

The other end of the line = (x₂, y₂)

[tex]\begin{gathered} -4\text{ = }\frac{1+x_2}{2} \\ -8\text{ = }1+x_2 \\ x_2=\text{ -8-1} \\ x_2=\text{ -9} \\ 2\text{ = }\frac{2+y_2}{2} \\ 4=2+y_2 \\ y_2=\text{ 4 - 2} \\ y_2=\text{ 2} \end{gathered}[/tex]

The point also located on the circle W is (-9, 2)