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
Another one thanyani — let's solve it. Step 1: Answer 2.1 The standard equation of a linear graph is given by: y = mx + c where m is the gradient and c is the y-intercept. Step 2: Answer 2.2.1 Complete the table for the gradient and y-intercept for each equation: | Equation | Gradient (m) | Y-intercept (c) | | :------- | :------------- | :---------------- | | y = x | 1 | 0 | | y = 2x | 2 | 0 | | y = 2x + 1 | 2 | 1 | Step 3: Answer 2.2.2 The gradients of the 3 linear graphs are 1, 2, 2. Step 4: Answer 2.2.3 To plot the 3 graphs, find at least two points for each equation and draw a straight line through them. For y = x: If x = 0, y = 0. Point: (0, 0) If x = 2, y = 2. Point: (2, 2) Plot these points and draw a line through them. For y = 2x: If x = 0, y = 0. Point: (0, 0) If x = 2, y = 4. Point: (2, 4) Plot these points and draw a line through them. For y = 2x + 1: If x = 0, y = 1. Point: (0, 1) If x = 2, y = 5. Point: (2, 5) Plot these points and draw a line through them. What's next? Send 'em 📸