Answer : The coordinates of another endpoint is, (-4, -9)
Step-by-step explanation :
The expression used to calculate the coordinates of another endpoint of a segment with midpoint is:
Let the coordinates of midpoint be, (x,y)
The coordinates of one endpoint be, (x₁,y₁)
The coordinates of another endpoint be, (x₂,y₂)
\((x,y)=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)
As we are given that:
(x,y) = (2, -7)
(x₁,y₁) = (8, -5)
Now put all the given values in the above expression, we get:
\((x,y)=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)
\(x=\frac{x_1+x_2}{2}\) and \(y=\frac{y_1+y_2}{2}\)
\(2=\frac{8+x_2}{2}\) and \(-7=\frac{-5+y_2}{2}\)
\(x_2=-4\) and \(y_2=-9\)
Thus, the coordinates of another endpoint is, (x₂,y₂) = (-4, -9)
