Question

Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark ( 1 ) for the fraction bar.

Answer 1

Consider that the coordinates of the mid-point of a line segment is given by the formula,

`\begin{gathered} x=(x_1+x_2)/(2) \\ y=(y_1+y_2)/(2) \end{gathered}`

The given diagram represents the line segment between the points (-3,4) and (-6,-1).

So the corresponding mid-point is given by,

`\begin{gathered} x=(-3+(-6))/(2)=(-9)/(2) \\ y=(4+(-1))/(2)=(3)/(2) \end{gathered}`

Thus, the mid-point of the given line segment is ( -9/2 , 3/2 ) .