Question

(-4,-3) (-5,2) find the midpoint of the segment with endpoints

Answer 1

The midpoint of the segment is (-4.5, -0.5).

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:

`\displaystyle M = \left((x_1 + x_2)/(2), (y_1 + y_2)/(2)\right)`

Let (-4, -3) be (x₁, y₁) and (-5, 2) be (x₂, y₂). Substitute and evaluate:

`\displaystyle \begin{aligned} M&= \left(((-4)+(-5))/(2) , ((-3)+(2))/(2) \right) \\ \\ &= \left((-9)/(2), (-1)/(2)\right) \\ \\ &=(-4.5, -0.5)}\end{aligned}`

In conclusion, the midpoint of the segment is (-4.5, -0.5).