Question

Find the midpoint of the segment with the given endpoints....

Answer 1

Answer:

(-9, -6) + (8,2) = (-1, -4)

(-1, -4) divide 2 = (-0.5, -2)


(-0.5, -2) is the final answer.





I hope this helps.

Answer 2

`\left(-(1)/(2),-2\right)`

Explanation:

To find the midpoint of the segment with endpoints (-9, -6) and (8, 2), we can use the midpoint formula:

`\boxed{\begin{array}{l}\underline{\sf Midpoint \;formula}\\\\M(x,y) =\left((x_2+x_1)/(2),(y_2+y_1)/(2)\right)\\\\\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.}\\\end{array}}`

Let (x₁, y₁) = (-9, -6)

Let (x₂, y₂) = (8, 2)

Substitute the points into the midpoint formula:

`M(x,y) =\left((8+(-9))/(2),(2+(-6))/(2)\right)`

`M(x,y) =\left((8-9)/(2),(2-6)/(2)\right)`

`M(x,y) =\left((-1)/(2),(-4)/(2)\right)`

`M(x,y) =\left(-(1)/(2),-2\right)`

Therefore, the midpoint of the segment with endpoints (-9, -6) and (8, 2) is:

`\large\boxed{\boxed{\textsf{Midpoint}=\left(-(1)/(2),-2\right)}}`