In order to find the distance between two points (x1, y1) and (x2, y2), we can use the following formula:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Using the points P(1, 3) and Q(-4, 2), we have:
[tex]\begin{gathered} d=\sqrt[]{(-4-1)^2+(2-3)^2} \\ d=\sqrt[]{(-5)^2+(-1)^2} \\ d=\sqrt[]{25+1} \\ d=\sqrt[]{26} \end{gathered}[/tex]So the distance between P and Q is √26.
