Question

Find the midpoint of the two points below. Type your answer as a point (x,y) without any spaces between your characters. Be sure to include the parentheses and a comma between your x and y values. If a value is not an integer then type your answer as a decimal rounded to the nearest hundredth.(0,7) and (4,-9)The midpoint is Answer

Answer 1

We will use the following formula for the coordinates of the midpoint (l,m) of a segment with endpoints (x,y) and (z,k):

`\begin{gathered} l=(x+z)/(2), \\ m=(y+k)/(2)\text{.} \end{gathered}`

Substituting the given points in the above formula we get:

`\begin{gathered} l=(0+4)/(2)=(4)/(2)=2, \\ m=(7+(-9))/(2)=(-2)/(2)=-1. \end{gathered}`

Answer: The midpoint is

`(2,-1)\text{.}`