Understanding:
This can be easily solved by using the distance formula which is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]
[tex]d:[/tex] distance
[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]
[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]
Solution:
[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]
The distance between the two points is 5.
