Show that the area of the triangle formed by the lines `y=m_1x+c_1,y=m_2x+c_2`and `x=0` is `((c_2-c_1)^2)/(2|m_1-m_2|)`

Explanation

To find the area of the triangle formed by the lines \(y = m_1x + c_1\), \(y = m_2x + c_2\), and \(x = 0\), we can follow these steps:

### Step 1: Find the Points of Intersection
1. **Intersection of the two lines**: Set \(m_1x + c_1 = m_2x + c_2\).
- Rearranging gives us:
\[ (m_1 - m_2)x = c_2 - c_1 \]
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