Answer:
(-16, 0)
Step-by-step explanation:
The midpoint can be found using the formula below, where [tex](x_1,y_1)[/tex] is the first endpoint and [tex](x_2, y_2)[/tex] is the other endpoint.
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
Let the other endpoint be (x, y).
Substitute the given midpoint and one endpoint into the formula above:
(-6, 4)= [tex](\frac{x+4}{2},\frac{y+8}{2} )[/tex]
Comparing the x-coordinate:
[tex]-6=\frac{x+4}{2}[/tex]
Multiply both sides by 2:
x +4= -12
Subtract 4 from both sides:
x= -12 -4
x= -16
Comparing the y-coordinate:
[tex]4=\frac{y+8}{2}[/tex]
Multiply both sides by 2:
y +8= 8
Subtract 8 from both sides:
y= 8 -8
y= 0
Thus, the other endpoint is (-16, 0).
Supplementary:
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