Answer:
[tex]d=\sqrt{218}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug our coordinates into the distance formula to find the distance between the points:
[tex]d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}[/tex]
[tex]d=\sqrt{(3 +4)^2+(-13)^2}[/tex]
[tex]d=\sqrt{(7)^2+169}[/tex]
[tex]d=\sqrt{49+169}[/tex]
[tex]d=\sqrt{218}[/tex]