Question

Please answer the question now in two minutes

Answer 1

Coordinates of point P is
`(-14,3)`.

Explanation:

Given that mid point of line segment
`\overline {PQ}` is at M(-9, 8.5).

Q is at (-4, 14).

Let coordinate of P be
`(x,y)`.

Using the ratio, we can say the following:

The coordinates of mid point
`(X,Y)` of a line with endpoints
`(x_1, y_1)` and
`(x_2, y_2)` is given as:

`X=((x_1+ x_2))/(2)`

`Y=((y_1+ y_2))/(2)`

Using the formula for above given dimensions:

`-9 =(x+(-4))/(2)\\\Rightarrow x = -18+4 = -14`

`8.5=((14+ y))/(2)\\\Rightarrow y = 17-14 =3`

So, the coordinates of point P are
`(-14,3)`.