Respuesta :

Answer:

I AM NOT GIVING YOU THE ANSWER I'M JUST HELPING YOU UNDERSTAND!!!!

Step-by-step explanation:

(-9,4) is the end point right. So if you count how many units are in between (-9,4) and (2,-1) yo would use that same number to count the rest of the way up since it is the halfway point

Answer:

(13, -6)

Step-by-step explanation:

Since, the coordinates of a midpoint of a line joining the points [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] is,

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

Here,

[tex]x_1=-9\text{ and }y_1=4[/tex]

Also,

[tex]\frac{x_1+x_2}{2}=2[/tex]

[tex]\frac{-9+x_2}{2}=2[/tex]

[tex]-9+x_2=4[/tex]

[tex]\implies x_2=13[/tex]

[tex]\frac{y_1+y_2}{2}=-1[/tex]

[tex]\frac{4+y_2}{2}=-1[/tex]

[tex]4+y_2=-2[/tex]

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

Hence, the coordinates of point M are, (13, -6)