Find the distance between the origin and the point :
(-12, - 5)

Answer

To find the distance between the origin (0, 0) and the point (-12, -5), we can use the distance formula, which is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Here, we can assign the coordinates as follows:
- \( (x_1, y_1) = (0, 0) \) (the origin)
- \( (x_2, y_2) = (-12, -5) \)

Now, let's substitute these values into the distance formula.

### Step 1: Substitute the coordinates into the formula
\[ d = \sqrt{((-12) - 0)^2 + ((-5) - 0)^2} \]

### Step 2: Simplify the expressions inside the parentheses
\[ d = \sqrt{(-12)^2 + (-5)^2} \]

### Step 3: Calculate the squares
\[ d = \sqrt{144 + 25} \]

### Step 4: Add the squared values
\[ d = \sqrt{169} \]

### Step 5: Take the square root
\[ d = 13 \]

Thus, the distance between the origin and the point (-12, -5) is **13 units**.

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