This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Part (a) Step 1: The gradient m of a straight line is calculated using the formula m = (y_2 - y_1)/(x_2 - x_1). Step 2: From the diagram, two points on line A are (1,2) and (2,4). Step 3: Substitute the coordinates into the formula: m_A = (4 - 2)/(2 - 1) = (2)/(1) = 2. The gradient of line A is 2. Part (b) Step 1: The diagram shows two parallel lines. Step 2: Parallel lines have equal gradients. Step 3: Therefore, the gradient of line B is the same as the gradient of line A, which is 2. 2