The coordinates of the midpoint of the line segment are (-1, 1)
Explanations:The coordinates of the endpoints of the line segment are:
(4, -2) and ( -6, 4)
That is x₁ = 4, y₁ = -2, x₂ = -6, y₂ = 4
The formulae for finding the coordinates the coordinates of the midpoint of a line given the endpoints are:
[tex]\begin{gathered} a\text{ = }\frac{x_1+x_2}{2} \\ b\text{ = }\frac{y_1+y_2}{2} \end{gathered}[/tex]Substituting the necessary parameters into the equation:
[tex]\begin{gathered} a\text{ = }\frac{4+(-6)}{2} \\ a\text{ = }\frac{4-6}{2} \\ a\text{ = }\frac{-2}{2} \\ a\text{ = -1} \\ b\text{ = }\frac{-2+4}{2} \\ b\text{ = }\frac{2}{2} \\ b\text{ = 1} \end{gathered}[/tex]Therefore, the coordinates of the midpoint of the line segment are (-1, 1)
