Question

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

Answer 1

Answer:

The mid point of the line segment is $\bigg(- \frac{3}{2}, -\frac{3}{2} \bigg )$.

Step-by-step 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:

                                   $\bigg ( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \bigg )$

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:

$\bigg ( \frac{- 1 + 4}{2}, \frac{- 4 + 1}{2} \bigg)$

$\bigg(- \frac{3}{2}, -\frac{3}{2} \bigg )$ is the required answer.