Hi, I'm happy to help!
To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!
First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.
Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.
From here, we use the Pythagorean Theorem. This states that a²+b²=c².
This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:
4²+7²=c²
16+49=c²
65=c²
To find c, we need to find the square root of 65.
√65
8.0622577...
Rounding to the nearest tenth is 8.1.
The distance between the two points is about 8.1.
I hope this was helpful, keep learning! :D
