Question

Find the midpoint of the segment with the following endpoints.
(7,-4) and (-1,-9)

Answer 1

`\left(3,-(13)/(2)\right)`

Explanation:

To find the midpoint of a segment with the given endpoints (x₁, y₁) and (x₂, y₂), we can use the midpoint formula:

`\textsf{Midpoint}=\left((x_2+x_1)/(2),(y_2+y_1)/(2)\right)`

In this case:

• (x₁, y₁) = (-1, -9)
• (x₂, y₂) = (7,-4)

Substitute the given endpoints into the midpoint formula:

`\textsf{Midpoint}=\left((7+(-1))/(2),(-4+(-9))/(2)\right)`

`\textsf{Midpoint}=\left((7-1)/(2),(-4-9)/(2)\right)`

`\textsf{Midpoint}=\left((6)/(2),(-13)/(2)\right)`

`\textsf{Midpoint}=\left(3,-(13)/(2)\right)`

So, the midpoint of the segment is (3, -13/2).