Question

Please answer it in two minutes

Answer 1

the coordinates of P are (-14,3)

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

`M(x,y)=((x1+x2)/(2),(y1+y2)/(2) )`

`(-9,8.5)=((x1+(-4))/(2),(y1+14)/(2) )`

comparing the coordinates separately

`-9=(x1-4)/(2)` or
`8.5=(y1+14)/(2)`

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 :)

Answer 2

`(-14,3)` is the required point.

Explanation:

Explanation is useless for you.

Best Regards!