Question

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

Answer 1

$\text{midpoint}=(\frac{15}{2},\frac{5}{2})$

Explanation

Step 1

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

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

Step 2

Let

P1(6,4)

P2(9,1)

Step 3

replace

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

I hope this helps you