How do you find the distance between the points A(6,-3) and B(4,-7)?

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Answer 1 · 2017-09-03T02:55:57

#2sqrt5#

We must use the distance formula:

#d=sqrt ((x_2-x_1)^2+(y_2-y_1)^2)#

We let

#A:(6,-3)->(color(blue)(x_1),color(red)(y_1))#

#B:(4,-7)->(color(blue)(x_2),color(red)(y_2))#

Then,

#d=sqrt((color(blue)(4-6))^2+(color(red)(-7-(-3)))^2)#

#d=sqrt((color(blue)(-2))^2+(color(red)(-4))^2)#

#d=sqrt(color(blue)4+color(red)16#

#d=sqrt20#

Simplify the radical if desired

#d=sqrt(4*5)=sqrt4*sqrt5=2sqrt5#