one endpoint of a segment is (18,26). the midpoint of the segment is (-2,4). what is the second endpoint of this segment​

Respuesta :

Answer:

(-22, -18)

Step-by-step explanation:

Midpoint=([tex](\frac{x+x}{2}, \frac{y+y}{2} )[/tex]

you already know the midpoint, so you're kind of working backward.

Midpoint (-2, 4)

you'll need to work each part of the equation separately to find x and y

x first

-2=[tex]\frac{x+18}{2}[/tex]

solve for x

multiply both sides by 2

-4 = x+18

subtract (18) from both sides

-22 = x

now y

4=[tex]\frac{y+26}{2}[/tex]

solve for y

multiply both sides by 2

8 = y+26

subtract 26

y = -18

second endpoint (-22, -18)