Question

How do you use the distance formula to find the distance of W(1,7), X(-2,-4)?

Answer 1

`sqrt130≈11.40`

Explanation:

Using 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 (1 ,7) and (-2 ,-4)

let `(x_1,y_1)=(1,7)" and " (x_2,y_2)=(-2,-4)`

substituting into the distance formula.

`d=sqrt((-2-1)^2+(-4-7)^2)=sqrt((-3)^2+(-11)^2)`

`=sqrt(9+121)=sqrt130larr" exact value"`

`sqrt130≈11.40" to 2 decimal places"`