Question

1-2 distance on a number line and distance formula
possible points: 10
use the distance formula to find the distance between the points a(2, 3) and b(4, -3). (check out example 2 from the pythagorean theorem and distance formula lesson.)
6.32
7.07
2.45
9

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: Assign values

Here, $x_1 = 2,y_1 = 3,x_2 = 4,y_2=- 3$.

Step3: Substitute values into the formula

$d=\sqrt{(4 - 2)^2+(-3 - 3)^2}=\sqrt{2^2+(-6)^2}=\sqrt{4 + 36}=\sqrt{40}$.

Step4: Simplify the square - root

$\sqrt{40}=\sqrt{4\times10}=2\sqrt{10}\approx 2\times3.162 = 6.32$.

Answer:

6.32