Question

Find the midpoint of the segment with the given endpoints (2,5) and (0,4)

Answer 1

Given the endpoints of a general segment:

`\begin{gathered} (x_1,y_1) \\ (x_2,y_2) \end{gathered}`

The midpoint of the segment can be calculated as:

`\text{Midpoint}_{}\colon((x_1+x_2)/(2),(y_1+y_2)/(2))`

Now, if we have two points (2,5) and (0,4)​, we identify:

`\begin{gathered} x_1=2 \\ y_1=5 \\ x_2=0 \\ y_2=4 \end{gathered}`

Then, using the general expression of the midpoint:

`\text{Midpoint}_{}\colon((2+0)/(2),(5+4)/(2))=(1,(9)/(2))`