Question

The coordinates of the endpoints of line AB are graphed in the standard (x, y) coordinate plane at (10, 14) and (4, -2). What is the y-coordinate of the midpoint of line AB?

Answer 1

y coordinate of midpoint of line AB is 6

Solution:

Given that endpoints of line AB is (10, 14) and (4, -2)

To find: y-coordinate of the midpoint of line AB

The midpoint of line AB is given as:

For a containing
`A(x_1, y_1)` and
`B(x_2, y_2)` the midpoint is given as:

`M(x, y)=\left((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)\right)`

Here in this question,

`\left(x_(1), y_(1)\right)=(10,14) \text { and }\left(x_(2), y_(2)\right)=(4,-2)`

So midpoint is:

`\begin{aligned}&M(x, y)=\left((10+4)/(2), (14-2)/(2)\right)\\\\&M(x, y)=\left((14)/(2), (12)/(2)\right)\\\\&M(x, y)=(7,6)\end{aligned}`

Therefore y coordinate of midpoint of line AB is 6