We are going to use the distance between two points formula
[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]Replacing the values in the equation we have
x2=3 x1= -7
y2=4 y1=10
[tex]d=\sqrt[]{(3-(-7))^2+(4-10)^2}[/tex]Solving, we obtain
[tex]d=2\cdot\sqrt[]{34}[/tex]