What is the equation of the line between #(-7,2)# and #(7,-3)#?

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What is the equation of the line between #(-7,2)# and #(7,-3)#?

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Answer 1 · 2015-12-29T00:32:00

#sqrt(221)#

Explanation:

The distance formula for Cartesian coordinates is

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2#
Where #x_1, y_1#, and#x_2, y_2# are the Cartesian coordinates of two points respectively.
Let #(x_1,y_1)# represent #(-7,2)# and #(x_2,y_2)# represent #(7,-3)#.
#implies d=sqrt((7-(-7))^2+(-3-2)^2#
#implies d=sqrt((14)^2+(-5)^2#
#implies d=sqrt(196+25)#
#implies d=sqrt(221)#

Hence the distance between the given points is #sqrt(221)#.

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What is the equation of the line between #(-7,2)# and #(7,-3)#?

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