How do you find the distance between points (-11, 9), (3,-4)?

1 Answer
Jim G.
Jan 28, 2017

#sqrt365≈19.105" to 3 dec. places"#

Explanation:

To calculate the distance between 2 points use the #color(blue)"distance formula"#

#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 (-11 ,9) and (3 ,-4)

let # (x_1,y_1)=(-11,9)" and " (x_2,y_2)=(3,-4)#

#d=sqrt((3-(-11))^2+(-4-9)^2)#

#=sqrt(14^2+(-13)^2)=sqrt(196+169)=sqrt365#

#rArr"distance between points " =sqrt365≈19.105#

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