Problem 954

Find the distance between the pair of points.

(-5,6) and (2,-1)

Solution:-

To find the distance between two point, use the distance formula.

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

If we replace x₂ by 2, then we replace x₁ by -5.

If we replace y₂ by -1, then we replace y₁ by 6.

d = $\sqrt{(2-(-5))^{2}+(-1-6)^{2}}$

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

= $\sqrt{98}$

$\approx$ 9.899

The distance between the point is approximately 9.899.