Question

Endpoint: (2,5), midpoint: (3,4)


Missing endpoint:​

Answer 1

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

Explanation:

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

`x=(x_1+x_2)/(2)`

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

`y=(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=(x_1+x_2)/(2)` and solve for
`x_2`:

`3=(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=(y_1+y_2)/(2)` and solve for
`y_2`:

`4=(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)`