Answer:
The answer is 5 units
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1, -1) and B(4, 3)
The distance between them is
[tex] |AB| = \sqrt{ ({1 - 4})^{2} + ({ - 1 - 3})^{2} } \\ = \sqrt{( { - 3})^{2} + ({ - 4})^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \: \: \: \: \: \: \: \: \\ = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]
We have the final answer as
5 units
Hope this helps you
