In a
Cartesian coordinate system in the plane, the distance
d between two points [latex](x_1, y_1[/latex]) and ([latex]x_2, y_2[/latex]) is:
d = [latex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/latex].
Example
The distance d between the points P(1, 2) and Q(4, 6) is: d = [latex]\sqrt{(4-1)^{2}+(6-2)^{2}}[/latex] = [latex]\sqrt{25}[/latex] = 5.
