Question

one endpoint of a line segment is located at (-3, -5). the other endpoint is 22 units up and the x - coordinate of the midpoint of the segment is 0. write the ordered pair that represents the other end of the segment. skill code: 371005

Explanation:

Step1: Let the coordinates of the other endpoint

Let the other endpoint be $(x,y)$. We know one endpoint is $(-3,-5)$ and the $y$-coordinate of the other endpoint is $y=-5 + 22$ (since it is 22 units up).
$y=-5+22 = 17$

Step2: Use the mid - point formula for the x - coordinate

The mid - point formula for the $x$-coordinate of two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M_x=\frac{x_1 + x_2}{2}$. Here $x_1=-3$, $x_2=x$ and $M_x = 0$. So, $0=\frac{-3 + x}{2}$.
Multiply both sides by 2: $0=-3 + x$.
Add 3 to both sides: $x = 3$.

Answer:

$(3,17)$