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A line segment has the endpoint T(2,4) and the Midpoint of (11,6.5) Find the coordinates of the other point B. Write it as a point.

A line segment has the endpoint T(2,4) and the Midpoint of (11,6.5) Find the coordinates-example-1
User Taruni
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Answer:

(20, 9)

Step-by-step explanation:

The coordinates of one of the endpoints of the line is: T(2,4)

The midpoint of line segment TB = (11,6.5)

Let the coordinates of B be (x,y).


\text{Midpoint(11,6.5)}=\mleft((2+x)/(2),(4+y)/(2)\mright)

We then solve for x and y.


\begin{gathered} 11=(2+x)/(2) \\ x+2=22 \\ x=22-2 \\ x=20 \end{gathered}

Similarly


\begin{gathered} 6.5=(4+y)/(2) \\ y+4=13 \\ y=13-4 \\ y=9 \end{gathered}

The coordinates of the other point B is (20, 9)

User Cnvzmxcvmcx
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