Question

How do you find the distance between (6,-7), (3,-5)?

Answer 1

`sqrt13≈3.606" to 3 dec.places"`

Explanation:

To calculate the distance use the `color(blue)"distance formula"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))`
where `(x_1,y_1),(x_2,y_2)" are 2 coordinate points"`

The 2 points here are (6 ,-7) and (3 ,-5)

let `(x_1,y_1)=(6,-7)" and " (x_2,y_2)=(3,-5)`

`d=sqrt((3-6)^2+(-5+7)^2)`

`color(white)(d)=sqrt(9+4)`

`color(white)(d)=sqrt13≈3.606" to 3 decimal places"`