Respuesta :

Answer:

[tex]\bigl(\frac{3}{2},-5\bigr)[/tex]

or in decimal form

[tex](1.5,-5)[/tex]

Step-by-step explanation:

The midpoint of the line with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is [tex]\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)[/tex]. just take the average between the points

so given the points (1,0) and (2,-10)

[tex]x_1=1[/tex]

[tex]y_1=0[/tex]

[tex]x_2=2[/tex]

[tex]y_2=-10[/tex]

the midpoint is found as follows:

[tex]\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)[/tex]

[tex]\bigl(\frac{1+2}{2},\frac{0-10}{2}\bigr)[/tex]

[tex]\bigl(\frac{3}{2},\frac{-10}{2}\bigr)[/tex]

[tex]\bigl(\frac{3}{2},-5\bigr)[/tex]

or in decimal form

[tex](1.5,-5)[/tex]