Hi! I'm happy to help!
To find the answer we first have to find the distance between the x and y values.
From the first point, we travel from the x point -9, to the x point, -2. This means that we traveled 7 units.
From the first point, we also travel from the first y point, -6, to the second y point, 2. This means we traveled 8 units.
From here we use the Pythagorean Theorem.
The Pythagorean Theorem says that: a²+b²=c²
We can use a and b (the 7 and 8 units we traveled) to find c (the distance between).
Let's insert our values.
7²+8²=49+64=113=c²
To find c, we need to find the square root of c².
√113
This is 10.6301..., if you want to round the the hundredth, or thousandth, your answer would be 10.63, rounding to the nearest tenth, it would be 10.6, and rounding to the nearest whole number would be 11.
I hope this was helpful, keep learning! :D