Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-2, -4) and (4, -6)

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Here, $x_1=-2,y_1 = - 4,x_2=4,y_2=-6$.

Step2: Substitute values

$d=\sqrt{(4-(-2))^2+((-6)-(-4))^2}=\sqrt{(4 + 2)^2+(-6 + 4)^2}=\sqrt{6^2+(-2)^2}=\sqrt{36 + 4}=\sqrt{40}$.

Step3: Simplify and round

$\sqrt{40}\approx6.3$ (rounded to the nearest tenth).

Answer:

$6.3$