Question

What is the distance between (-1, 2) and (5, -2)on a graph put into a decimal form. ​

Answer 1

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Using the distance formula, the distance between the given points is

`d=√((5-(-1))^2+(-2-2)^2)`

`d=√((5+1)^2+(-4)^2)`

`d=√((6)^2+16)`

`d=√(36+16)`

On further simplification, we get

`d=√(52)`

`d=7.2111`

`d\approx 7.21`

Therefore, the the distance between the given points is about 7.21 units.