Question

How to find the midpoint of the line segment with (2,-1) (9’9)

Answer 1

To determine the midpoint of a line segment:

The formula to find the mid-point of a line segment give the two end points is:

`M=((x_1+x_2)/(2),(y_2+y_1)/(2))`

Where

M is the midpoint and the given points are: ( x₁ , y₁) and ( x₂ , y₂)

Substituting the values from the points in the problem gives:

`\begin{gathered} M=((x_1+x_2)/(2),(y_2+y_1)/(2)) \\ M=((2+9)/(2),\frac{-1+9_{}}{2}) \\ M=((11)/(2)\text{ , }(8)/(2)) \\ M=(5.5\text{ , 4)} \end{gathered}`

Hence the correct answer for the midpoint M = (5.5 , 4)