Answer: 17
Step-by-step explanation:
To find teh distance, you need to use the distance formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Since we are given the two points, We can go ahead and plug them in and solve.
[tex]d=\sqrt{(-2-6)^2+(-4-11)^2}[/tex] [subtract]
[tex]d=\sqrt{(-8)^2+(-15)^2}[/tex] [exponent]
[tex]d=\sqrt{64+225}[/tex] [add]
[tex]d=\sqrt{289}[/tex] [square root]
[tex]d=17[/tex]
Now, we know the distance between the points is 17.