Answer:
[tex](\frac{1}{2},\frac{5}{2})[/tex]
Step-by-step explanation:
To find the midpoint of a segment of line we have thenext expression:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Then using our endpoints: [tex](3,5)[/tex] and [tex](-2,0)[/tex] we have [tex]x_1=3,\,\,x_2=-2[/tex] and [tex]y_1=5,\,\,y_2=0[/tex]. Now using that values in the expression of midpoint:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{3+(-2)}{2},\frac{5+0}{2})=(\frac{3-2}{2},\frac{5}{2})=(\frac{1}{2},\frac{5}{2})[/tex]
Then the answer is:
[tex](\frac{1}{2},\frac{5}{2})[/tex]
