Question

find the distance between the points (-5, 3) and (-2, 3).

Explanation:

Step1: Recall 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 $x_1=-5,y_1 = 3,x_2=-2,y_2 = 3$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-2-(-5))^2+(3 - 3)^2}=\sqrt{(-2 + 5)^2+0^2}=\sqrt{3^2+0^2}$.

Step3: Simplify

$\sqrt{3^2+0^2}=\sqrt{9+0}=\sqrt{9}=3$.

Answer:

3