Question

Find the distance between the following points:

A(4, –1) and B(7, 3)

Answer 1

Given: A(4, –1) and B(7, 3).

Step-wise calculation:

1. Use the distance formula

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`.

2. x₂ – x₁ = 7 – 4 

= 3

y₂ – y₁ = 3 – (–1) 

= 4

3. `d = sqrt(3^2 + 4^2)` 

= `sqrt(9 + 16)` 

= `sqrt(25)`

Distance AB = 5 units.