Question

find the coordinates of the other endpoint of the segment, given its midpoint and
and y.)
midpoint (25,18), endpoint (17,19)

the other endpoint is
(type an ordered pair.)

Explanation:

Step1: Use midpoint formula

The midpoint formula is $M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the midpoint $M=(25,18)$ and one endpoint $(x_1,y_1)=(17,19)$. Let the other endpoint be $(x_2,y_2)$.
For the $x$-coordinate:
$$25=\frac{17 + x_2}{2}$$
Multiply both sides by 2: $25\times2=17 + x_2$. So $50 = 17+x_2$. Then $x_2=50 - 17=33$.

Step2: Solve for $y$-coordinate

For the $y$-coordinate:
$$18=\frac{19 + y_2}{2}$$
Multiply both sides by 2: $18\times2=19 + y_2$. So $36=19 + y_2$. Then $y_2=36 - 19 = 17$.

Answer:

$(33,17)$