Find the distance between the two points A and then find the midpoint of the line segment AB.

Question

asked Dec 10, 2019 227k views

1 Answer

Aliona · Answer 1 · 2019-12-17T05:07:05+0000

The distance formula is
√((x_2-x_1)^2+(y_2-y_1)^2)

Our points are:

Using these points, we can solve for the distance as such:

$√((4-(-3))^2+(5-(-3))^2)\\ √(7^2+8^2)\\ √(49+64)\\ √(113)$

The distance between A and B is √113, or approximate 10.63, units.

Next, the midpoint formula is
((x_2+x_1)/(2),(y_2+y_1)/(2))

Using our points, we can solve for the midpoint as such:

$((4+(-3))/(2),(5+(-3))/(2))\\ \\((1)/(2),(2)/(2)) \\ \\ (0.5,1)$

The midpoint of Line AB is (0.5,1).