Answer:
the coordinates of P are (-14,3)
Step-by-step explanation:
as we know PQ is a line segment and it has a mid-point M in order to find the coordinates of P we use mid-point formula
[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
[tex](-9,8.5)=(\frac{x1+(-4)}{2},\frac{y1+14}{2} )[/tex]
comparing the coordinates separately
[tex]-9=\frac{x1-4}{2}[/tex] or [tex]8.5=\frac{y1+14}{2}[/tex]
simplifying the both equations
-9×2=x1-4 or 8.5×2=y1+14
-18=x1-4 or 17=y1+14
-18+4=x1 or 17-14=y1
-14=x1 or 3=y1
so the coordinates of P are (-14,3)
in order to check the values put it in mid-point formula to find the coordinates of M
i hope this will help you :)
