Question

question 15 of 16. practice: using midpoint formula. the coordinates of the midpoint of gh are m(8, 0) and the coordinates of one endpoint are h(-2, 9). find the coordinates of the other endpoint. the coordinates of the other endpoint are ( , )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of the other endpoint be $(x,y)$, $M(8,0)$ and $H(-2,9)$.

Step2: Solve for x - coordinate

We have $\frac{x+( - 2)}{2}=8$. Multiply both sides by 2: $x - 2=16$. Then add 2 to both sides: $x=18$.

Step3: Solve for y - coordinate

We have $\frac{y + 9}{2}=0$. Multiply both sides by 2: $y+9 = 0$. Then subtract 9 from both sides: $y=-9$.

Answer:

$(18,-9)$