How do you find the distance between (-3,17), (15,-7)?

1 Answer
Jim G.
May 13, 2017

#30" units"#

Explanation:

#"to calculate the distance 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 points are " (x_1,y_1)=(-3,17),(x_2,y_2)=(15,-7)#

#d=sqrt((15-(-3))^2+(-7-17)^2)#

#color(white)(d)=sqrt(18^2+(-24)^2)#

#color(white)(d)=sqrt(324+576)#

#color(white)(d)=sqrt900#

#color(white)(d)=30" units"#

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