Answer: [tex]d =\sqrt{10}[/tex]
Step-by-step explanation:
The formula for finding distance between two points is given as :
[tex]d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}=2[/tex]
[tex]x_{2}=1[/tex]
[tex]y_{1}=4[/tex]
[tex]y_{2}=1[/tex]
substituting into the formula , we have :
[tex]d = \sqrt{(1-2)^{2}+(1-4)^{2}}[/tex]
[tex]d = \sqrt{(-1)^{2}+(-3)^{2}}[/tex]
[tex]d = \sqrt{1+9}[/tex]
[tex]d =\sqrt{10}[/tex]
