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

Sagot :

Given the endpoints of a general segment:

[tex]\begin{gathered} (x_1,y_1) \\ (x_2,y_2) \end{gathered}[/tex]

The midpoint of the segment can be calculated as:

[tex]\text{Midpoint}_{}\colon(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

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

[tex]\begin{gathered} x_1=2 \\ y_1=5 \\ x_2=0 \\ y_2=4 \end{gathered}[/tex]

Then, using the general expression of the midpoint:

[tex]\text{Midpoint}_{}\colon(\frac{2+0}{2},\frac{5+4}{2})=(1,\frac{9}{2})[/tex]