How do you find the distance between points ( - 3, 0 ) and ( 8, - 6 )?

May 9, 2018

$\sqrt{157} \approx 12.53 \text{ to 2 dec. places}$

Explanation:

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

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

$\text{let "(x_1,y_1)=(-3,0)" and } \left({x}_{2} , {y}_{2}\right) = \left(8 , - 6\right)$

$d = \sqrt{{\left(8 - \left(- 3\right)\right)}^{2} + {\left(- 6 - 0\right)}^{2}}$

$\textcolor{w h i t e}{d} = \sqrt{{11}^{2} + {6}^{2}} = \sqrt{157} \approx 12.53$