Answer:
The midpoint of the segment is (-4.5, -0.5).
Step-by-step explanation:
We want to find the midpoints of the segment with endpoints (-4, -3) and (-5, 2).
We can use the Midpoint Formula. Recall that:
[tex]\displaystyle M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)[/tex]
Let (-4, -3) be (x₁, y₁) and (-5, 2) be (x₂, y₂). Substitute and evaluate:
[tex]\displaystyle \begin{aligned} M&= \left(\frac{(-4)+(-5)}{2} , \frac{(-3)+(2)}{2} \right) \\ \\ &= \left(\frac{-9}{2}, \frac{-1}{2}\right) \\ \\ &=(-4.5, -0.5)}\end{aligned}[/tex]
In conclusion, the midpoint of the segment is (-4.5, -0.5).
