Question

Find the distance between the two points in simplest radical form HELP​

Answer 1

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:

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

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

$d=\sqrt{(-3-(-9))^2+(-2-3)^2}$

$d=\sqrt{(-3+9)^2+(-5)^2}$

$d=\sqrt{(6)^2+(-5)^2}$

On further simplification, we get

$d=\sqrt{36+25}$

$d=\sqrt{61}$

Therefore, the distance between the given points is $\sqrt{61}$ units.