Given: Points (-6, 2) and (3, -10).
To find: The y-coordinate of the midpoint of the line segment formed by the given points.
Answer:
Let's first find out the mid-point.
Formula to find the mid-point of a line segment:
[tex]\tt \bigg(\dfrac{x_1\ +\ x_2}{2}, \dfrac{y_1\+ \ y_2}{2}\bigg)[/tex]
From the given data, we have:
[tex]\tt x_1\ =\ -6\\\\x_2\ =\ 3\\\\y_1\ =\ 2\\\\y_2\ =\ -10[/tex]
Using these in the formula,
[tex]\tt Mid-point\ =\ \bigg(\dfrac{-6\ +\ 3}{2}, \dfrac{2\ +\ -10}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, \dfrac{-8}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, -4\bigg)[/tex]
The y-coordinate of the mid-point of the line segment formed by the points (-6, 2) and (3, -10) is -4.
Hope it helps. :)
