Question

a line segment has endpoints at (-4, -1) and (3, 4). what is the x - coordinate of the midpoint of this line segment?

Explanation:

Step1: Recall mid - point formula for x - coordinate

The formula for the x - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $M_x=\frac{x_1 + x_2}{2}$.
Here $x_1=-6$ and $x_2 = 3$.

Step2: Substitute values into formula

$M_x=\frac{-6 + 3}{2}$.

Step3: Calculate the result

$M_x=\frac{-3}{2}=-1.5$.

Answer:

$-1.5$