Answer: 13 units
Step-by-step explanation:
To solve this problem, we must use the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Our points are as follows: (0, -7) and (-5, 5).
Thus, we can conclude:
x₂= (-5)
x₁ = 0
y₂ = 5
y₁ = (-7)
We can then plug these values into the equation:
√[(-5- 0)² + (5 - (-7))²]
Simplifying the parentheses retrieves the following result. Remember that subtracting a negative results in an addition.
√[(-5)² + (12)²]
Let's apply exponents now.
√25 + 144
And now we can add across:
√169
The square root of 169 comes out to a clean 13, which is the answer to this problem.