Answer: 5 units
Step-by-step explanation:
Distance formula to calculate the distance between two points (a,b) and (c,d) is
[tex]\text{Distance}=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Now, the distance between points P(4, 6) and Q(8, 9) is given by :-
[tex]\text{Distance}=\sqrt{(8-4)^2+(9-6)^2}\\\\\Rightarrow\text{Distance}=\sqrt{4^2+3^2}\\\\\Rightarrow\text{Distance}=\sqrt{16+9}\\\\\Rightarrow\text{Distance}=\sqrt{25}\\\\\Rightarrow\text{Distance}=5\ units[/tex]
Hence, the distance between points P(4, 6) and Q(8, 9) is 5 units.
