Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-8, -2) and (1, -4)

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Substitute the points

Here, $x_1=-8,y_1 = - 2,x_2=1,y_2=-4$. So $d=\sqrt{(1-(-8))^2+((-4)-(-2))^2}=\sqrt{(1 + 8)^2+(-4 + 2)^2}=\sqrt{9^2+(-2)^2}=\sqrt{81 + 4}=\sqrt{85}$.

Step3: Calculate and round

$\sqrt{85}\approx9.2$.

Answer:

$9.2$