Answer:
10.8
Step-by-step explanation:
If we plot the points on the graph, we can then plot another point at (-2,-5) as a vertex for a right triangle. The vertex and (-2,5) have a distance of 10 units, so we can save this.
The vertex and (-6,-5) are 4 units apart. Now, we can use Pythagorean theorem to calculate the hypotenuse, which is the distance between (-2, 5) and (-6, -5).
Pythagorean theorem: c² = a² + b²
Our variables: c = ?, a = 10, b = 4
Now, we can simplify these and make an equation.
c² = 100 + 16
c² = 116
√116 = c
√116 = 10.7703296143
c = 10.7703296143
We can round this to 10.8, making the distance between (-2, 5) and (-6, -5) 10.8 units.