Question

Find the midpoint of the segment between the points (−5,13) and (6,4)A. (−11/2,9/2)B. (1/2,17/2)C. (1,17)D. (−1,−17)

Answer 1

To obtain the midpoint, find the average of the x- and y-coordinates.

Let

`\begin{gathered} (x_1,y_1)=(-5,13) \\ (x_2,y_2)=(6,4) \end{gathered}`

Substitute the coordinates into the midpoint formula and then simplify.

`\text{midpoint}=\mleft((x_1+x_2)/(2),(y_1+y_2)/(2)\mright)`

Thus, we have the following.

`\begin{gathered} midpoint=\mleft((-5+6)/(2),(13+4)/(2)\mright) \\ =\mleft((1)/(2),(17)/(2)\mright) \end{gathered}`

Therefore, the correct answer is option B.