To solve this problem, we will use the following formula for the distance between two points (x₁,y₁) and (x₂,y₂):
[tex]d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}.[/tex]
Substituting the given points in the above formula, we get:
[tex]d=\sqrt[]{(-2-(-5))^2+(-1-(-4))^2}.[/tex]
Simplifying the above result, we get:
[tex]d=\sqrt[]{(-2+5)^2+(-1+4)^2}=\sqrt[]{3^2+3^2}=\sqrt[]{18}.[/tex]
Therefore:
[tex]d\approx4.2.[/tex]
Answer:
[tex]4.2[/tex]
