The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (-2, 1) and (4, -3). Substitute:
[tex]d=\sqrt{(4-(-2))^2+(-3-1)^2}=\sqrt{6^2+(-4)^2}=\sqrt{36+16}\\\\=\sqrt{52}=\sqrt{4\cdot13}=\sqrt4\cdot\sqrt{13}=2\sqrt{13}[/tex]
Answer: [tex]2\sqrt{13}[/tex]
Used: [tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]
