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PLEASE HELP ASAP!!! VERY IMPORTANT
Point M is the midpoint of PQ. The coordinates of P and M are given below.

M(5,-2) and P(11,-10)

Based on this information what are the coordinates of Q?

Show all work and provide any necessary descriptions.

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kudzordzifrancis

Answer:

Q(-1,6)

Step-by-step explanation:

The midpoint rule is given as:

[tex]M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}  )[/tex]

We have that point M is the midpoint of PQ and M(5,-2) and P(11,-10).

We substitute x=5, y=-2, [tex]x_1=11[/tex] and [tex]x_1=-10[/tex].

[tex]M(5,-2)=(\frac{11+x_2}{2},\frac{-10+y_2}{2}  )[/tex]

This implies that:

[tex]5=\frac{11+x_2}{2}[/tex]

[tex]\implies 10=11+x_2[/tex]

[tex]\implies x_2=-1[/tex]

[tex]-2=\frac{-10+y_2}{2}[/tex]

[tex]\implies -4=-10+y_2[/tex]

[tex]\implies y_2=6[/tex]

Therefore the coordinates of Q are (-1,6)

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