Question

Calculate the distance between(4,9) and (-2,6) using the distance formula

Answer 1

The distance formula is the $\sqrt{(x2-x1)+(y2-y1)}$

Answer 2

Using the distance formula $\sqrt{(x2-x1) ^{2} + (y2-y1) ^{2} }$, we can calculate the distance.

x1 can be 4 and x2 can be -2.
y1 can be 9 and y2 can be 6.
$\sqrt{(x2-x1) ^{2} + (y2-y1) ^{2} }$
$= \sqrt{(-2-4) ^{2} + (6-9) ^{2} } = \sqrt{(-6) ^{2}+ (-3) ^{2} } = \sqrt{36+9} = \sqrt{45} = 3 \sqrt{5}$