Question

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

Answer 1

The x coordinate of the other endpoint is -6

Explanation:

The midpoint formula can be found as:

$M(x,y)=\lef(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )$

So we have the midpoint:

$(-2,9)$

and an endpoint:

$(2,8)$

So, we can find the x coordinate of the other endpoint, say, $x_{2}$ as:

$x=\frac{x_{1}+x_{2}}{2} \\ \\ Isolating \ x_{2}: \\ \\ x_{1}+x_{2}=2x \\ \\ x_{2}=2x-x_{1} \\ \\ x=-2 \\ \\ x_{1}=2 \\ \\ x_{2}=2(-2)-2 \\ \\ x_{2}=-4-2 \\ \\ x_{2}=-6$

In conclusion, the x coordinate of the other endpoint is -6

Learn more:

Finding midpoint: https://brainly.com/question/13773601

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