Question

Which pair of coordinates has a midpoint of (8, 3)?(0, 10) and (-6, 6)(-8, 4) and (8, -2)(-5, -8) and (-11, 2)(10, 0) and (6, 6)

Answer 1

The formula to calculate the midpoint between two points is,

`\lparen x_m,y_m)=\lparen(x_1+x_2)/(2),(y_1+y_2)/(2))`

Checking the last option for confirmation

The coordinates are (10, 0) and (6, 6)

Where,

`\begin{gathered} \lparen x_1,y_1)=\left(10,0\right) \\ \lparen x_2,y_2)=\left(6,6\right) \end{gathered}`

Therefore,

`\begin{gathered} \lparen x_m,y_m)=\lparen(10+6)/(2),(0+6)/(2))=\left((16)/(2),(6)/(2)\right)=\left(8,3\right) \\ \therefore\lparen x_m,y_m)=(8,3) \end{gathered}`

Hence, from the result above we can conclude that the coordinates with the pair (8,3) are (10, 0) and (6, 6).

Therefore, the answer is (10, 0) and (6, 6).