Find the slope of the line passing through the following pairs of points :
`(-4, 0)` and origin

Answer

To find the slope of the line passing through the points \((-4, 0)\) and the origin \((0, 0)\), we can follow these steps:

### Step 1: Identify the points
We have two points:
- Point A: \((-4, 0)\) which we can denote as \((x_1, y_1)\)
- Point B: \((0, 0)\) which we can denote as \((x_2, y_2)\)

### Step 2: Assign values to the coordinates
From the points, we can assign:
- \(x_1 = -4\)
- \(y_1 = 0\)
- \(x_2 = 0\)
- \(y_2 = 0\)

### Step 3: Use the slope formula
The formula for the slope (m) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

### Step 4: Substitute the values into the formula
Now, substituting the values we have:
\[ m = \frac{0 - 0}{0 - (-4)} \]

### Step 5: Simplify the expression
This simplifies to:
\[ m = \frac{0}{0 + 4} = \frac{0}{4} = 0 \]

### Conclusion
Thus, the slope of the line passing through the points \((-4, 0)\) and \((0, 0)\) is \(0\).

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