Answer:
Coordinates of point P is [tex](-14,3)[/tex].
Step-by-step explanation:
Given that mid point of line segment [tex]\overline {PQ}[/tex] is at M(-9, 8.5).
Q is at (-4, 14).
Let coordinate of P be [tex](x,y)[/tex].
Using the ratio, we can say the following:
The coordinates of mid point [tex](X,Y)[/tex] of a line with endpoints [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]X=\dfrac{(x_1+ x_2)}{2}[/tex]
[tex]Y=\dfrac{(y_1+ y_2)}{2}[/tex]
Using the formula for above given dimensions:
[tex]-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14[/tex]
[tex]8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3[/tex]
So, the coordinates of point P are [tex](-14,3)[/tex].
