Question

Endpoint: (2,5), midpoint: (3,4)Missing endpoint:​

Answer 1

Answer: $Missing\ endpoint:\ (4,3)$

Step-by-step explanation:

The formula to find the x-coordinate of a Midpoint, is:

$x=\frac{x_1+x_2}{2}$

And formula to find the y-coordinate of a Midpoint, is:

$y=\frac{y_1+y_2}{2}$

Given the Endpoint (2,5) and the Midpoint (3,4), we can idenfity that:

$x=3\\x_1=2\\\\y=4\\y_1=5$

Therefore, in order to find the x-coordinate of the missing endpoint, we can substitute values into the formula  $x=\frac{x_1+x_2}{2}$ and solve for $x_2$:

$3=\frac{2+x_2}{2}\\\\3*2=2+x_2\\\\6-2=x_2\\\\x_2=4$

To find the y-coordinate of the missing endpoint, we can substitute values into the formula  $y=\frac{y_1+y_2}{2}$ and solve for $y_2$:

$4=\frac{5+y_2}{2}\\\\4*2=5+y_2\\\\8-5=y_2\\\\y_2=3$

Therefore, the missing endpoint is:

$Missing\ endpoint:\ (4,3)$