Respuesta :

Answer:

(6, 2)

Step-by-step explanation:

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\\\\\textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

Defined points:

  • [tex](x_1,y_1)=(8,-2)[/tex]
  • [tex](x_2,y_2)=(4,6)[/tex]

Substitute the defined points into the formula:

[tex]\textsf{Midpoint}=\left(\dfrac{4+8}{2},\dfrac{6-2}{2}\right)=(6,2)[/tex]

Therefore, the midpoint of the two given points is (6, 2).