Answer:
The midpoint of the given segment is (-0.5, 3)
Explanation:
The formula for mid-point is
![\left((x_(1)+x_(2))/(2)\right) \text { and }\left((y_(1)+y_(2))/(2)\right)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7mdb5uia84rs5707b179ik090d1xsv13d2.png)
Now, from the given question endpoints A (-3,5) and B (2,1)
We know that
![x_(1)=-3 \text { and } x_(2)=2 \text { and } y_(1)=5 \text { and } y_(2)=1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/129nhz7dppjjhmn3ysezacft01tjjusfzx.png)
Substituting the values in the mid-point formula we get
x-coordinate is
![\left((x_(1)+x_(2))/(2)\right)=\left((-3+2)/(2)\right)=(-1)/(2)=-0.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7ummfg20c37v2hyt5v2xsx2266dcge524x.png)
y-coordinate is
![\left((y_(1)+y_(2))/(2)\right)=\left((5+1)/(2)\right)=(6)/(2)=3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bliqhcugp110zxm38q77o7oeywvur14g3k.png)
Hence, midpoint of the given endpoints is (-0.5,3) Thus we found the midpoint of the segment of the given end points.