Segment AB has endpoints A(-1,3) and B(0,7). What is the length of AB?

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Answer 1 · 2018-04-06T09:18:47

#sqrt17#

the length of a segment with end coordinates

#(x_1,y_1),(x_2,y_2)#
is

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

we ahve

#A(-1, 3), B(0,7)#

#d=sqrt(((0- -1)^2+(7-3)^2)#

#d=sqrt(1^2+4^4)#

#d=sqrt(1+16)=sqrt17#