Subjects algebra

Parallel Lines B81C6B

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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 $4$.