Question

1. if the distance between points a (2, 3) and b (6, 3) is calculated, what is the result?

a. 3
b. 2
c. 5
d. 4

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For points A(2,3) and B(6,3), $x_1 = 2,y_1 = 3,x_2 = 6,y_2 = 3$.

Step2: Substitute values

Substitute into the formula: $d=\sqrt{(6 - 2)^2+(3 - 3)^2}=\sqrt{4^2+0^2}=\sqrt{16}=4$.

Answer:

d. 4