Question

What are the coordinates of the midpoint of a line segment with endpoints located at (4,-2) and (-6, 4)?

Answer 1

Answer:

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:

`\begin{gathered} a\text{ = }(x_1+x_2)/(2) \\ b\text{ = }(y_1+y_2)/(2) \end{gathered}`

Substituting the necessary parameters into the equation:

`\begin{gathered} a\text{ = }(4+(-6))/(2) \\ a\text{ = }(4-6)/(2) \\ a\text{ = }(-2)/(2) \\ a\text{ = -1} \\ b\text{ = }(-2+4)/(2) \\ b\text{ = }(2)/(2) \\ b\text{ = 1} \end{gathered}`

Therefore, the coordinates of the midpoint of the line segment are (-1, 1)