How do you use the Distance Formula to find the distance between K(-7, -4) and L(-2, 0)?

1 Answer
Jim G.
Dec 16, 2016

sqrt41≈6.403" to 3 decimal places"√41≈6.403 to 3 decimal places

Explanation:

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)|)))larr" distance formula"
where (x_1,y_1),(x_2,y_2)" are 2 coordinate points"

The 2 points here are (-7 ,-4) and (-2 ,0)

let (x_1,y_1)=(-7,-4)" and " (x_2,y_2)=(-2,0)

d=sqrt((-2-(-7))^2+(0-(-4))^2)=sqrt(5^2+4^2)

=sqrt(25+16)=sqrt41≈6.403" to 3 decimal places"

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