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

1 Answer
Jim G. · Stefan V. · Tony B
Jan 1, 2016

2 sqrt(61)

Explanation:

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)

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