Answer:
The distance between the pair of points is 5 units.
Explanation:
The first thing we must know in order to solve this problem is the distance formula.
![Distance(d)=\sqrt{(x_(2)-x_(1) )^2+(y_(2)-y_(1))^2}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/azwbquihoe9z2720s7me6e142royo5ha17.png)
We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.
![d=√((6-2)^2+(-3-0)^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w1v1ync9wi1n30gmurgzxo1eadrfh2jyf2.png)
![d=√((4)^2+(-3)^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9ee50vaksl1reutv2jw5qqk7q6hxfmgzoc.png)
![d=√(16+9)](https://img.qammunity.org/2021/formulas/mathematics/college/rmc7gu7msuczg0bmgmzpphboyhc1ehbql3.png)
![d=√(25)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5hd4qwntjv8mzwxlne5hk8g1tgx0uprdsk.png)
![d=5](https://img.qammunity.org/2021/formulas/mathematics/college/4rrto17gejft4rrcepjawz23szon8g87sf.png)
So, the distance between the two given points is 5 units.