Answer:
The midpoint of the given segment is (-0.5, 3)
Step-by-step explanation:
The formula for mid-point is [tex]\left(\frac{x_{1}+x_{2}}{2}\right) \text { and }\left(\frac{y_{1}+y_{2}}{2}\right)[/tex]
Now, from the given question endpoints A (-3,5) and B (2,1)
We know that [tex]x_{1}=-3 \text { and } x_{2}=2 \text { and } y_{1}=5 \text { and } y_{2}=1[/tex]
Substituting the values in the mid-point formula we get
x-coordinate is [tex]\left(\frac{x_{1}+x_{2}}{2}\right)=\left(\frac{-3+2}{2}\right)=\frac{-1}{2}=-0.5[/tex]
y-coordinate is [tex]\left(\frac{y_{1}+y_{2}}{2}\right)=\left(\frac{5+1}{2}\right)=\frac{6}{2}=3[/tex]
Hence, midpoint of the given endpoints is (-0.5,3) Thus we found the midpoint of the segment of the given end points.
