Given:
The two points are (-1,2) and (5,-2).
To find:
The distance between the given points.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between the given points is
[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]
[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]
[tex]d=\sqrt{(6)^2+16}[/tex]
[tex]d=\sqrt{36+16}[/tex]
On further simplification, we get
[tex]d=\sqrt{52}[/tex]
[tex]d=7.2111[/tex]
[tex]d\approx 7.21[/tex]
Therefore, the the distance between the given points is about 7.21 units.
