Question

Find the distance between the two points (-3, 2) and (2, -3).​

Answer 1

Answer:

➡ the distance between (-3, 2) and (2, -3) is 5√2 units.

Step-by-step explanation:

Given points :

➡ (-3, 2)

➡ (2 ,-3)

We need to find the distance between them

Using the distance formula :

$\sf \longmapsto \: distance = \sqrt{(x_{2} - x_1 {)}^{2} + {({y}_{2} - {y}_{1})}^{2} }$

Where,

$\to \sf {x}_{1} \: = -3 and \: {x}_{2} = 2$

$\to \sf {y}_{1} \: = 2 and \: {y}_{2} = ( -3)$

Substituting the values :

$\sf \longrightarrow distance = \sqrt{(x_{2} - x_1 {)}^{2} + {({y}_{2} - {y}_{1})}^{2} }$

$\sf \longrightarrow distance = \sqrt{ {(2 + 3)}^{2} + {( -3 - 2)}^{2} }$

$\sf \longrightarrow distance = \sqrt{ {( 5)}^{2} + {( - 5)}^{2} }$

$\sf \longrightarrow distance = \sqrt{25 + 25}$

$\sf \longrightarrow distance = \sqrt{50}$

$\sf \longrightarrow distance = \sqrt[5]{2}units.$

Hence,

The distance between the points is 5√2 units.