a segment has a midpoint (-2,9) and one endpoint (2,8). what is the x coordinate of the other endpoint?

The x coordinate of the other endpoint is -6Explanation:The midpoint formula can be found as:[tex]M(x,y)=\lef(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )[/tex]So we have the midpoint:[tex](-2,9)[/tex]and an endpoint:[tex](2,8)[/tex]So, we can find the x coordinate of the other endpoint, say, [tex]x_{2}[/tex] as:[tex]x=\frac{x_{1}+x_{2}}{2} \\ \\ Isolating \ x_{2}: \\ \\ x_{1}+x_{2}=2x \\ \\ x_{2}=2x-x_{1} \\ \\ x=-2 \\ \\ x_{1}=2 \\ \\ x_{2}=2(-2)-2 \\ \\ x_{2}=-4-2 \\ \\ x_{2}=-6[/tex]In conclusion, the x coordinate of the other endpoint is -6Learn more:Finding midpoint: