Question

HELP ME ASAP PLEASEEEEE

Answer 1

Given:

The graph of a line segment.

To find:

The distance between the pair of points.

Solution:

From the given graph it is clear that the end points of the line segment are (-3,-1) and (-2,-3).

The distance between these two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-2-(-3))^2+(-3-(-1))^2}$

$d=\sqrt{(-2+3)^2+(-3+1)^2}$

$d=\sqrt{(1)^2+(-2)^2}$

On further simplification, we get

$d=\sqrt{1+4}$

$d=\sqrt{5}$

$d=2.236067$

$d\approx 2.2$

Therefore, the distance between the pair of point is about 2.2 units.