Question

Find the distance between the following points:

(1, 2); (−5, −6)

Answer 1

To find the distance between the points (1, 2) and (−5, −6), we’ll use the distance formula:

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

Step 1: Identify the coordinates

x₁ ​= 1, y₁ = 2

x₂ = −5 y₂​= −6

Step 2: Substitute into the formula

`"Distance" = sqrt((−5 − 1)^2 + (−6 − 2)^2)`

= `sqrt((−6)^ 2 + (−8)^2)`

= `sqrt(36 + 64)`

= `sqrt100`

= 10