Question

Given you have the point (7,3) and the midpoint (4,5), determine the other point.

Answer 1

Answer 3,-2

Explanation:

y 2 - y 1 and x2 - x1

Answer 2

Answer: ( 1 , 7 )

Explanation:

The formula for calculating mid - points is given as :

`(x , y )` =
`(x_(1)+x_(2))/(2) ,`
`(y_(1)+y_(2))/(2)`

`x_(1) = 7`

`x_(2) = ?`

`y_(1) = 3`

`y_(2)=?`

`x = 4`

`y = 5`

substituting into the formula , we have:

`4, 5 =`
`(7+x_(2))/(2)` ,
`(3+y_(2))/(2)`

Equating x - component to x and y - component to y , we have

`4 = (7+x_(2))/(2)`

`8 = 7 + x_(2)`

Therefore :

`x_(2)= 1`

Also :

`5 = (3+y_(2))/(2)`

`10 = 3 + y_(2)`

Therefore:

`y_(2)= 7`

Therefore , the other point is ( 1 , 7 )