Question

What is the midpoint of the segment shown below

Answer 1

Answer: The midpoint of the given line segment is (5, 1).

Step-by-step explanation: We are given to find the mid-point of the segment shown in the figure.

From the figure, we can see a line segment with co-ordinates of the endpoints (3, 4) and (7, -2).

We know that

The midpoint of a line segment with co-ordinates of the endpoints (a, b) and (c, d) is given by

`M=\left((a+c)/(2),(b+d)/(2)\right).`

Therefore, the co-ordinates of the midpoint of the given line segment will be

`M=\left((3+7)/(2),(4+(-2))/(2)\right)=\left((10)/(2),(2)/(2)\right)=(5,1).`

Thus, the midpoint of the given line segment is (5, 1).

Answer 2

Midpoint =
`( (X2+X1)/(2) , (Y2+Y1)/(2) )`

Plug in:


`( (3+7)/(2) , (4+(-2))/(2) )`

Equals:


`( (10)/(2) , (2)/(2))`

Your answer is then:

(5, 1), your midpoint.