Question

a line segment has the endpoint T(2,4) and the midpoint of (3,6.5). find the coordinates of the other point B.

Answer 1

a line segment has the endpoint T(2,4) and the midpoint of (3,6.5). find the coordinates of the other point B.

we know that

The formula to calculate the midpoint between two points is equal to

`M((x1+x2)/(2),(y1+y2)/(2))`

In this problem we have

M=(3,6.5)

(x1,y1)=T(2,4)

(x2,y2)=B

substitute the given values in the formula above

`(3,6.5)=((2+x2)/(2),(4+y2)/(2))`

Find the value of x2 coordinate

3=(2+x2)/2

x2+2=6

x2=6-2=4

Find the value of y2 coordinate

6.5=(4+y2)/2

y2+4=13

y2=13-4=9

therefore

the coordinates of point B(4,9)