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Let K be (x_2,y_2), then use the Midpoint Formula.
K(-2,-3)
We can use the Midpoint Formula to find the missing endpoint by splitting the usual formula into two separate equations, one for the x-coordinate and one for the y-coordinate.
M(x,y)=(x_1+x_2/2, y_1+y_2/2)
⇕
x_M=x_1+x_2/2 and y_M=y_1+y_2/2
To find x_2, we can use the x-coordinate of the midpoint, x_M= 6, and the given endpoint, x_1= 14.
x_M= 6, x_1= 14
LHS * 2=RHS* 2
LHS-14=RHS-14
Rearrange equation
The x-coordinate of the endpoint K is -2. Now, we will determine its y-coordinate in a similar process. The y-coordinates of the midpoint and given endpoint are 3 and 9, respectively.
y_M= 3, y_1= 9
LHS * 2=RHS* 2
LHS-9=RHS-9
Rearrange equation
The y-coordinate of K is -3, so point K is located at (-2,-3).