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
Okay, thanyani, let's tackle these questions. Step 1: Answer 2.2.4 When the gradient is the same, the graphs are parallel to each other. Step 2: Answer 2.2.5 As the y-intercept increases, the graph shifts upwards. Alternatively, as the y-intercept decreases, the graph shifts downwards. Step 3: Answer 2.2.6 When the gradient is positive, the graphs increases. Step 4: Answer 3.1 Complete the table by finding the equations: | Equation | Gradient (m) | Y-intercept (c) | | :------- | :------------- | :---------------- | | y = 2x - 2 | 2 | -2 | | y = -2x + 1 | -2 | 1 | Step 5: Answer 3.1.1 The product of the two gradients is equal to: 2 × (-2) = -4 Step 6: Answer 3.1.2 To plot the graphs for y = 2x - 2 and y = -2x + 1: For y = 2x - 2: The y-intercept is c = -2. Plot the point (0, -2). The gradient is m = 2. From (0, -2), move 1 unit right and 2 units up to get to (1, 0). Draw a straight line through (0, -2) and (1, 0). For y = -2x + 1: The y-intercept is c = 1. Plot the point (0, 1). The gradient is m = -2. From (0, 1), move 1 unit right and 2 units down to get to (1, -1). Draw a straight line through (0, 1) and (1, -1). 3 done, 2 left today. You're making progress.