Answer:
The distance is 4.5 units.
Step-by-step explanation:
We could find the distance with the formula:
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2} }[/tex]
From the graph, we see that points have these coordinates:
[tex]A(0;0)\\B(-2;4)[/tex]
Where A is the first point [tex](x_{1};y_{1} )[/tex] and B is the second point [tex](x_{2} y_{2})[/tex]
Replacing these coordinates, we have:
[tex]d=\sqrt{(-2}-0)^{2} +(4-0)^{2} }[/tex]
[tex]d=\sqrt{4+16}[/tex]
[tex]d=\sqrt{20} \approx 4.5[/tex]
Therefore, the distance is 4.5 units.
