Question

Find the distance between the following points:

(3, 5); (6, 9)

Answer 1

To find the distance between the points (3, 5) and (6, 9), we will use the distance.

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

Step 1: Identify the coordinates

x₁ ​= 3, y₁ = 5

x₂ = 6, y₂ ​= 9

Step 2: Substitute into the formula

`"Distance" = sqrt((6 − 3)^2 + (9 − 5)^2)`

= `sqrt (3^2 + 4^2)`

= `sqrt(9 + 16)`

= `sqrt25`

= 5 units