Question

In the standard (x, y) coordinate plane, what is the y-coordinate of the midpoint on

the line segment between the points (-6, 2) and (3, -10)?

Answer 1

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:

`\tt \bigg((x_1\ +\ x_2)/(2), (y_1\+ \ y_2)/(2)\bigg)`

From the given data, we have:

`\tt x_1\ =\ -6\\\\x_2\ =\ 3\\\\y_1\ =\ 2\\\\y_2\ =\ -10`

Using these in the formula,

`\tt Mid-point\ =\ \bigg((-6\ +\ 3)/(2), (2\ +\ -10)/(2)\bigg)\\\\\\Mid-point\ =\ \bigg((-3)/(2), (-8)/(2)\bigg)\\\\\\Mid-point\ =\ \bigg((-3)/(2), -4\bigg)`

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. :)