to find the distance between 2 points we should apply the formula
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-_{}y_1)^2_{}}[/tex]
call point q as point 1 for reference in the formula and p as point 2
replace the coordinates in the formula
[tex]d=\sqrt[]{(3-(-1))^2+(-4-(-1))^2}[/tex]
simplify the equation
[tex]\begin{gathered} d=\sqrt[]{(3+1)^2+(-4+1)^2} \\ d=\sqrt[]{4^2+(-3)^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}[/tex]
the distance between the 2 points is 5 units
