Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]
[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]
[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36+25}[/tex]
[tex]d=\sqrt{61}[/tex]
Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.
