Question

Find the distance between the points (-6,2) and (-2,7)

Answer 1

Hello !

Answer:

`\boxed{\sf d=√(41)\approx6.4}`

Explanation:

The distance between two points A and B is given by the following formula:

`\sf AB=√((x_B-x_A)^2+(y_B-y_A)^2)` considering
`\sf A(x_A,y_A)` and
`\sf B(x_B,y_B)`.

Given :

• 
  `\sf A(-6,2)`
• 
  `\sf B(-2,7)`

Let's replace the coordinates with their values in the previous formula :

`\sf AB=√((-2-(-6))^2+(7-2)^2)\\AB=√(4^2+5^2)\\AB=√(16+25)\\\boxed{\sf AB=√(41)\approx6.4}`

Have a nice day ;)