Question

use the distance formula to find the distance between the points j(8, -2) and k(6, -4). (check out example 2 from the pythagorean theorem and distance formula lesson.)

6.32
8
2.83
14.14

Explanation:

Step1: Identify the coordinates

Let $(x_1,y_1)=(8, - 2)$ and $(x_2,y_2)=(6,-4)$.

Step2: Apply the distance formula

The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute the values: $d=\sqrt{(6 - 8)^2+(-4+2)^2}=\sqrt{(-2)^2+(-2)^2}$.

Step3: Calculate the squares

$(-2)^2 = 4$, so $d=\sqrt{4 + 4}=\sqrt{8}$.

Step4: Simplify the square - root

$\sqrt{8}\approx2.83$.

Answer:

C. 2.83