The given co-ordinates are:
[tex]\begin{gathered} A(-7,4)\text{ and B(-4,1)} \\ x_1=-7,y_1=4 \\ x_2=-4,y_2=1 \end{gathered}[/tex]The distance between two points is calculated using the formula below:
[tex]|AB|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Thus, we have:
[tex]|AB|=\sqrt[]{(-4-(-7))^2+(1-4)^2}[/tex][tex]\begin{gathered} |AB|=\sqrt[]{(-4+7)^2+(-3)}^2 \\ |AB|=\sqrt[]{3^2+9} \\ |AB|=\sqrt[]{9+9} \\ |AB|=\sqrt[]{18} \\ |AB|=4.24 \end{gathered}[/tex]Hence, the distance between the points is 4.24
