Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ Midpoint (15, -8), endpoint (16, -3). What is the other endpoint?​

Respuesta :

Answer:

the other endpoint is [tex](14,-13)[/tex]

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let

[tex](x1,y1)=(16,-3)[/tex]

so

[tex](16+x2)/2=15[/tex] -----> [tex]x2=30-16=14[/tex]

[tex](-3+y2)/2=-8[/tex] -----> [tex]y2=-16+3=-13[/tex]

therefore

the other endpoint is [tex](x2,y2)=(14,-13)[/tex]

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