Question

find the distance between the two points. enter the number that goes beneath the radical symbol. (-3,3) (-1,-1)

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

Step2: Calculate difference in x - coordinates

$x_2 - x_1=-1-(-3)=-1 + 3=2$.

Step3: Calculate difference in y - coordinates

$y_2 - y_1=-1 - 3=-4$.

Step4: Square the differences and sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=2^2+(-4)^2=4 + 16=20$.

Answer:

20