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Find the distance between the points (0, -7) and (-5, 5).

Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

1 Answer

4 votes

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.

User Krystyne
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