Question

If the endpoints of `bar(AB)` have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of `bar(AB)`?

Answer 1

The endpoints of bar(AB) have coordinates are A(9, 8) and B(-1, -2), so the midpoint is simply the average of x- component of both coordinates and the average of y- component of both coordinates.

A=(x₁, y₁)=(9, 8)

B=(x₂, y₂)=(-1, -2)

The midpoint formula is given below;

$Midpoint=(x,y)= (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2} )$

$=(\frac{9-1}{2} , \frac{8-2}{2} )$

$= (4 , 3 )$ is the midpoint of bar(AB).