Question

consider the following pair of points. (-3, -3) and (2, 9) step 1 of 2: determine the distance between the two points. answer

Explanation:

Step1: Identify the distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Substitute the given points

Here, $x_1=-3,y_1 = - 3,x_2=2,y_2 = 9$. Then $d=\sqrt{(2-(-3))^2+(9 - (-3))^2}=\sqrt{(2 + 3)^2+(9 + 3)^2}=\sqrt{5^2+12^2}=\sqrt{25 + 144}=\sqrt{169}$.

Step3: Calculate the square - root

$\sqrt{169}=13$.

Answer:

$13$