Question

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?

Answer 1

Answer:

(-9, 2)

Explanations:

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

`\begin{gathered} a\text{ = }(x_1+x_2)/(2) \\ b\text{ = }(y_1+y_2)/(2) \end{gathered}`

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)

`\begin{gathered} -4\text{ = }(1+x_2)/(2) \\ -8\text{ = }1+x_2 \\ x_2=\text{ -8-1} \\ x_2=\text{ -9} \\ 2\text{ = }(2+y_2)/(2) \\ 4=2+y_2 \\ y_2=\text{ 4 - 2} \\ y_2=\text{ 2} \end{gathered}`

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