Question

find the distance between the two points. (-4,1) (2,0)

Explanation:

Step1: Identify the 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, $(x_1,y_1)=(-4,1)$ and $(x_2,y_2)=(2,0)$.

Step2: Substitute the values

$d=\sqrt{(2-(-4))^2+(0 - 1)^2}=\sqrt{(2 + 4)^2+(0 - 1)^2}=\sqrt{6^2+(-1)^2}$.

Step3: Calculate the squares and sum

$\sqrt{36+1}=\sqrt{37}$.

Answer:

$\sqrt{37}$