Question

Find the midpoint M of the line segment joining the points C=(6,2) and D=(2,8).

Answer 1

Given

`point\text{ C \lparen6,2\rparen and Point \lparen2,8\rparen}`

Solution

Formula

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

`\begin{gathered} x_1=6 \\ x_2=2 \\ y_1=2 \\ y_2=8 \end{gathered}`

Now

`\begin{gathered} M=((6+2)/(2),\text{ }(2+8)/(2)) \\ \\ M=((8)/(2),\frac{10}{\text{2}}) \\ \\ M=(4,5) \end{gathered}`

The midpoint M of the line segment joining the points C=(6,2) and D=(2,8). is

`M=(4,5)`