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

1 Answer
Feb 14, 2017

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"