Subjects algebra

Parallel Lines 3F62C8

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1. **State the problem:** We have two parallel lines, A and B, and we need to find the gradient (slope) of line A and then write down the gradient of line B. 2. **Recall the formula for gradient:** The gradient $m$ of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Find the gradient of line A:** From the graph, line A passes through points approximately $(0,2)$ and $(1,7)$. Calculate: $$m_A = \frac{7 - 2}{1 - 0} = \frac{5}{1} = 5$$ 4. **Gradient of line B:** Since lines A and B are parallel, they have the same gradient. Therefore: $$m_B = m_A = 5$$ **Final answers:** - Gradient of line A is $5$. - Gradient of line B is $5$.