Respuesta :

Answer:

The answer is

[tex] \sqrt{29} \: \: units[/tex]

Step-by-step explanation:

To find the distance between two points we use 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

(-1, 4) and (1,-1)

The distance between them is

[tex]d = \sqrt{ ({ - 1 - 1})^{2} + ({4 + 1})^{2} } \\ d = \sqrt{ ({ - 2})^{2} + {5}^{2} } \\ d = \sqrt{4 + 25} [/tex]

We have the final answer as

[tex]d = \sqrt{29} \: \: \: units[/tex]

Hope this helps you

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