Question

2.) Midpoint formula
FIND THE MIDPOINT OF THE LINE SEGMENT

Answer 1

The mid point of the line segment is
`$ \bigg(- (3)/(2), -(3)/(2) \bigg ) $`.

Explanation:

From the graph we can find the end points of the line segment. The end points are:
`$ (- 1, - 4) $` and
`$ (4, 1) $`.

When the end points of a line segment are known, the mid point of the line segment is given by:

`$ \bigg ( (x_1 + x_2)/(2), (y_1 + y_2)/(2) \bigg ) $`

where
`$ (x_1, y_1) $` and
`$ (x_2, y_2) $` are the end points.

Here:
`$ (x_1, y_1) = (- 1, - 4) $` and
`$ (x_2, y_2) = (4, 1) $`

Therefore, the mid point of the line segment would be:

`$ \bigg ( (- 1 + 4)/(2), (- 4 + 1)/(2) \bigg) $`

`$ \bigg(- (3)/(2), -(3)/(2) \bigg ) $` is the required answer.