Answer:
The answer is
[tex]2 \sqrt{2 } \: \: or \: \: 2.828 \: \: \: units[/tex]
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
E(-3,4) and B(-1,6)
The distance between them is
[tex] |EB| = \sqrt{ ({ - 3 + 1})^{2} + ({4 - 6})^{2} } \\ = \sqrt{ ({ - 2})^{2} + ({ - 2})^{2} } \\ = \sqrt{4 + 4} \ \ \\ = \sqrt{8} [/tex]
We have the final answer as
[tex]2 \sqrt{2 } \: \: or \: \: 2.828 \: \: \: units[/tex]
Hope this helps you
