What is the distance of (–4, 7) and (–7, 8)?

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Answer 1 · 2017-06-15T19:11:11

#D(A,B)=sqrt(10)~~3.1623#

The distance between two points #A=(x_1,y_1)# and #B=(x_2,y_2)# is given by the distance formula.

#D(A,B)=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

We are given

#(x_1,y_1)=(-4,7)#

and

#(x_2,y_2)=(-7,8)#

Plugging these values into the distance formula gives:

#D(A,B)=sqrt((-7-(-4))^2+(8-7)^2)#

#D(A,B)=sqrt((-7+4)^2+(8-7)^2)#

#D(A,B)=sqrt((-3)^2+(1)^2)#

#D(A,B)=sqrt(9+1)#

#D(A,B)=sqrt(10)~~3.1623#