Respuesta :

natan03
The change in x between the 2 coordinates is 8 and the change in y between the 2 coordinates is 5. If you graph it out you will get a right angled triangle and all you have to do is use Pythagoras Theorem to solve it
Sqrt(8^2 + 5^2)
Sqrt(64 + 25)
Sqrt(89)
So it’s answer 2 :)

Answer:

[tex]\sqrt{89}[/tex]

Step-by-step explanation:

Distance formula - [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

= [tex]\sqrt{(7-(-1)^2+(4-9)^2}[/tex]

= [tex]\sqrt{(8)^2+(-5)^2}[/tex]

= [tex]\sqrt{64}+\sqrt{25}[/tex]

= [tex]\sqrt{89}[/tex]

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