1. **Problem statement:** We are given two parallel lines, Line A and Line B, and we need to find the gradient (slope) of Line A and then write down the gradient of Line B.
2. **Important rule:** Parallel lines have the same gradient. So, once we find the gradient of Line A, the gradient of Line B will be the same.
3. **Finding the gradient of Line A:** The gradient formula is:
$$\text{gradient} = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$$
4. **Using points on Line A:** From the description, Line A passes near (0,0). We estimate two points on Line A from the graph: approximately (0,0) and (1,4).
5. **Calculate the gradient:**
$$m = \frac{4 - 0}{1 - 0} = \frac{4}{1} = 4$$
6. **Gradient of Line B:** Since Line B is parallel to Line A, its gradient is also 4.
**Final answers:**
- Gradient of Line A is $4$.
- Gradient of Line B is $4$.
Parallel Lines B81C6B
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