Question

Find the midpoint of the segment with the following endpoints.(4,9) and (-4,2)

Answer 1

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

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Given that the end-points are (4,9) and (-4,2),

$\begin{gathered} (x_1,y_1)=(4,9) \\ (x_2,y_2)=(-4,2) \end{gathered}$

Substitute the values in the formula and obtain the mid-point as follows,

$\begin{gathered} =(\frac{4+(-4)}{2},\frac{9+2}{2}) \\ =(\frac{4-4}{2},\frac{11}{2}) \\ =(\frac{0}{2},\frac{11}{2}) \\ =(0,5.5) \end{gathered}$

Thus, the mid-point os the line segment joining the given end-points is obtained as,

$(0,0.5)$