Question

what is the distance between point a and point b?

Explanation:

Step1: Identify coordinates

Let point $A=(3,3)$ and point $B=(6,9)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 3,y_1 = 3,x_2=6,y_2 = 9$. So $d=\sqrt{(6 - 3)^2+(9 - 3)^2}=\sqrt{3^2+6^2}=\sqrt{9 + 36}=\sqrt{45}$.

Answer:

$\sqrt{45}$