Answer:
(-22, 10)
Step-by-step explanation:
So the midpoint equation is defined as: [tex]m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]. The order of the pairs don't matter since addition is associative, as long as you put the values where they are supposed to be (x in x spot, and y in the spot)
So, let's say the unknown end point is [tex](x_2, y_2)[/tex]
We know what the midpoint is so we can solve for these values. Let's start with the x-value
[tex]-14=\frac{-6+x_2}{2}[/tex]
Multiply both values by 2
[tex]-28=-6+x_2[/tex]
Now add 6 to both sides
[tex]-22=x_2[/tex]
Now let's do the same thing with the y-value
[tex]9=\frac{8+y_2}{2}[/tex]
Multiply both sides by 2
[tex]18=8+y_2[/tex]
Subtract 8 from both sides
[tex]10=y_2[/tex]
So the other end point is [tex](-22, 10)[/tex]
