Subjects algebra

Gradient Parallel Lines 0Ad37E

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1. **State the problem:** We have two parallel lines, A and B, on a coordinate plane. 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 two 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:** Line A passes through points $(0,0)$ and $(1,7)$. Calculate: $$m_A = \frac{7 - 0}{1 - 0} = \frac{7}{1} = 7$$ 4. **Gradient of line B:** Since lines A and B are parallel, they have the same gradient. Therefore: $$m_B = m_A = 7$$ **Final answers:** - Gradient of line A is $7$. - Gradient of line B is $7$.