Question

find the distance between the points. (5,3) and (-1,3) the distance is

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, $(x_1,y_1)=(5,3)$ and $(x_2,y_2)=(-1,3)$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-1 - 5)^2+(3 - 3)^2}=\sqrt{(-6)^2+0^2}$.

Step3: Simplify

Calculate $(-6)^2 = 36$ and $0^2=0$, so $d=\sqrt{36 + 0}=\sqrt{36}=6$.

Answer:

6