Question

find the distance between the points (-2, -10) and (-2, -4). round decimals to the nearest tenth. units

Explanation:

Step1: Identify the distance formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-2,y_1 = - 10,x_2=-2,y_2=-4$.

Step2: Substitute the values

Since $x_1 = x_2=-2$, the formula simplifies to $d=\sqrt{(-2+2)^2+(-4 + 10)^2}=\sqrt{0+(6)^2}$.

Step3: Calculate the result

$d=\sqrt{36}=6$.

Answer:

6