What is the distance between (–3,1) and (2,4) on the coordinate plane?

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Answer 1 · 2017-04-08T10:37:15

See explanation.

If 2 points are given:

#A=(x_A,y_A)# ##

and

then to calculate the distance between the points you use the formula:

#|AB|=sqrt((x_B-x_A)^2+(y_B-y_A)^2)#

In the example we have:

#|AB|=sqrt((2-(-3))^2+(4-1)^2)=sqrt(5^2+3^2)=sqrt(34)#

Answer: The distance between the points is #sqrt(34)#