Question

find the distance between the two points.

Explanation:

Step1: Recall distance formula

The distance $d$ 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: Calculate differences

$x_2 - x_1=2-(-4)=6$ and $y_2 - y_1=0 - 1=-1$.

Step3: Square differences and sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=6^2+(-1)^2=36 + 1=37$.

Answer:

$\sqrt{37}$