Question

Find the distance between the following points:

(−2, −5); (6, −20)

Answer 1

To find the distance between the points (−2, −5) and (6, −20), we’ll use the distance formula:

`"Distance" = sqrt((x_2 − x_1)^2 + (y_2 − y_1)^2)`

Step 1: Identify the coordinates

x₁ = −2 y₁ ​= −5

x₂ = 6, y₂​ = −20

Step 2: Substitute into the formula

`"Distance" = sqrt((6 − (−2))^2 + (−20 − (−5)^2)`

= `sqrt((6 + 2)^2 + (−20 + 5)^2)`

= `sqrt(8^2 + (−15)^2)`

= `sqrt(64 + 225)`

= `sqrt289`

= 17 units