Question

question 13 of 13, step 1 of 2 consider the following pair of points. step 1 of 2 : determine the distance between the two points. (-2, -8) and (1, 2)

Explanation:

Step1: Recall 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: Identify the coordinates

Let $(x_1,y_1)=(-2,-8)$ and $(x_2,y_2)=(1,2)$. Then $x_2 - x_1=1-(-2)=3$ and $y_2 - y_1=2 - (-8)=10$.

Step3: Calculate the squares

$(x_2 - x_1)^2=3^2 = 9$ and $(y_2 - y_1)^2=10^2 = 100$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=9 + 100=109$.

Step5: Calculate the distance

$d=\sqrt{109}$.

Answer:

$\sqrt{109}$