What is the distance between # (4, -5)# and # (-6,7) #?

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Answer 1 · 2016-01-01T11:49:34

#2 sqrt(61)#

Use the distance formula which is

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

Now,

#(x_1, y_1 ) = (4,-5)" "# and #" "(x_2, y_2) = (-6 ,7)#

Substituting into formula gives

#d = sqrt ( (-6-4)^2 + [7- (-5)]^2)#

#= sqrt ((-10)^2 + (12)^2)#

# =sqrt (100+144)#

#= sqrt(244)= 2 sqrt(61)#