Question

Question #c7208

Answer 1

Point Q = (10, 11)

Explanation:

The formula to find the coordinates of a midpoint of a line between two points `(x_1, y_1)` and `(x_2,y_2)` is simply the average of the `x` coordinates and the `y` coordinates:

`((x_1+x_2)/2, (y_1+y_2)/2)`

Hence, we know that `1/2 (x_Q + -8)` is equal to the `x` coordinate of the midpoint, which is, in this case, 1.

Thus,

`1 = 1/2 (x_Q - 8)`
`2 = x_Q -8`
`x_Q = 10`

Likewise, for the `y` coordinate:

`7 = 1/2 (y_Q + 3)`
`14 = y_Q + 3`
`y_Q = 11`

Hence the coordinates of point Q are:
`(10, 11)`