Question

Please answer the question now in two minutes

Answer 1

Answer:

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

Step-by-step 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:

$X=\dfrac{(x_1+ x_2)}{2}$

$Y=\dfrac{(y_1+ y_2)}{2}$

Using the formula for above given dimensions:

$-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14$

$8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3$

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