Question

Endpoint: (-7,8) Midpoint: (0,0) Find the other endpoint

Answer 1

Answer:

The coordinates of the other endpoints are (7, -8)

Explanations:

The coordinates of the first endpoint are (-7, 8)

That is, x₁ = -7, y₁ = 8

The coordinates of the midpoints are (0, 0)

This means that a = 0, b = 0

The coordinates of the final endpoints (x₂ , y₂) can be calculated using the formulae:

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

Substituting the known parameters to get the values of (x₂ , y₂)

`\begin{gathered} 0\text{ = }(x_2+(-7))/(2) \\ x_2-\text{ 7 = 0} \\ x_2=\text{ 7} \\ 0\text{ = }(y_2+8)/(2) \\ y_2+8\text{ = 0} \\ y_2=\text{ -8} \\ (x_2,y_2)\text{ = (7, -8)} \end{gathered}`

The coordinates of the other endpoints are (7, -8)