# What is the distance between (-4, 3)  and  (3, -2) ?

Apr 9, 2018

$\sqrt{74} \approx 8.6 \text{ to 1 dec. place}$

#### Explanation:

$\text{calculate using the "color(blue)"distance formula}$

•color(white)(2/2)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

$\text{let "(x_1,y_1)=(-4,3)" and } \left({x}_{2} , {y}_{2}\right) = \left(3 , - 2\right)$

$d = \sqrt{{\left(3 + 4\right)}^{2} + {\left(- 2 - 3\right)}^{2}}$

$\textcolor{w h i t e}{d} = \sqrt{49 + 25} = \sqrt{74} \approx 8.6$