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
3.3 Given the equation y = 4x - 3, we will complete the table by substituting each x value into the equation to find the corresponding y value. Step 1: Calculate y for each x value. For x = -3: y = 4(-3) - 3 = -12 - 3 = -15 For x = -2: y = 4(-2) - 3 = -8 - 3 = -11 For x = -1: y = 4(-1) - 3 = -4 - 3 = -7 For x = 0: y = 4(0) - 3 = 0 - 3 = -3 For x = 1: y = 4(1) - 3 = 4 - 3 = 1 For x = 2: y = 4(2) - 3 = 8 - 3 = 5 For x = 3: y = 4(3) - 3 = 12 - 3 = 9 Step 2: Complete the table. | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | | :-- | :---- | :---- | :---- | :---- | :---- | :---- | :---- | | y | -15 | -11 | -7 | -3 | 1 | 5 | 9 | Step 3: Plot the graph. To plot the graph, you would use the coordinate pairs (x, y) from the table: (-3, -15), (-2, -11), (-1, -7), (0, -3), (1, 1), (2, 5), (3, 9). Plot each of these points on a coordinate plane. Since the equation y = 4x - 3 is a linear equation, all these points will lie on a straight line. Draw a straight line connecting these points to represent the graph of the function. 4 down, 1 left today — send the next one.