Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
The distance between two points can be found using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex].
This is because, if you connected your two points with a line, that line could be defined as the hypotenuse of a right triangle. the base of that triange is the distance between the x coordinates ([tex]x_{2} -x_{1}[/tex]) and the height by the distance between the y coordinates ([tex]y_{2} - y_{1}[/tex]). Sine these are the sides of the right triangle, they are equal to a and b above (c is the hypotenuse that we are trying to find). So, we calculate the two distances above and get 3 and 1 (for x and y respectively). 3^2 + 1^ 2 =10. So the answer is square root 10.
