Question

What is the distance between `(1, 6)` and `(4, 5)`?

Answer 1

Distance `=sqrt(10`

Explanation:

The points are
`(1,6) =color(blue)(x_1,y_1` and
`(4,5) = color(blue)(x_2,y_2`

The distance is calculated by
Distance `=color(blue)(sqrt((x_2-x_1)^2 +(y_2-y_1)^2)`

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

`=sqrt((4-1)^2 +(5-6)^2)`

`=sqrt((3)^2 +(-1)^2)`

`=sqrt((9+1)`
`=sqrt((10)`