Question

Find the midpoint: (6,4) and (9,1)

Answer 1

`\text{midpoint}=((15)/(2),(5)/(2))`

Step-by-step explanation

Step 1

the midpoint of two points, P1 and P2 is given by:

`\begin{gathered} \text{midpoint P1P2=(}(x_1+x_2)/(2),(y_1+y_2)/(2)\text{)} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}`

Step 2

Let

P1(6,4)

P2(9,1)

Step 3

replace

`\begin{gathered} \text{midpoint P1P2=(}(x_1+x_2)/(2),(y_1+y_2)/(2)\text{)} \\ \\ \text{midpoint P1P2=(}(6+9)/(2),(4+1)/(2)\text{)} \\ \text{midpoint}=((15)/(2),(5)/(2)) \end{gathered}`

I hope this helps you