What is the distance between the points #(-8, 4)# and #(-2, -2)#?

1 Answer
Jim G.
Mar 20, 2017

#6sqrt2~~8.49" to 2 decimal places"#

Explanation:

Calculate the distance ( d ) using 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 (-8 ,4) and (-2 ,-2)

let # (x_1,y_1)=(-8,4)" and " (x_2,y_2)=(-2,-2)#

#d=sqrt((-2+8)^2+(-2-4)^2)=sqrt(36+36)=sqrt72#

#color(white)(x)=sqrt(36xx2)=sqrt36xxsqrt2=6sqrt2~~8.49#

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