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=√((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=√((-3-(-9))^2+(-2-3)^2)`

`d=√((-3+9)^2+(-5)^2)`

`d=√((6)^2+(-5)^2)`

On further simplification, we get

`d=√(36+25)`

`d=√(61)`

Therefore, the distance between the given points is
`√(61)` units.