Find the distance between the pair of points.

Find  the distance between the pair of points.

Give an exact answer and an approximation to three decimal places.

(-5,6) and (2, -3)

 

Solution:-

 

To find the distance between two points, use the distance formula below.

d =  \sqrt{( x_{2}- x_{1})^2+( y_{2}- y_{1})^2}.

Substitute the value and calculate.

d =  \sqrt{( 2-(-5))^2+( -3-6)^2}

=\sqrt{(7)^2+(-9)^2}

= \sqrt{130}

This is the exact value of the distance between the two point.

Now find the approximate distance to three decimal places.

\sqrt{130}  \approx 11.402

 

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