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