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
Step 1: Calculate the value of y for each given x value using the equation y = 2x + 3. For x = -2: y = 2(-2) + 3 = -4 + 3 = -1 For x = -1: y = 2(-1) + 3 = -2 + 3 = 1 For x = 0: y = 2(0) + 3 = 0 + 3 = 3 For x = 1: y = 2(1) + 3 = 2 + 3 = 5 For x = 2: y = 2(2) + 3 = 4 + 3 = 7 For x = 3: y = 2(3) + 3 = 6 + 3 = 9 For x = 4: y = 2(4) + 3 = 8 + 3 = 11 Step 2: Complete the table with the calculated y values. | x | -2 | -1 | 0 | 1 | 2 | 3 | 4 | |---|----|----|---|---|---|---|---| | y | -1 | 1 | 3 | 5 | 7 | 9 | 11 | To plot the graph, plot the points (-2, -1), (-1, 1), (0, 3), (1, 5), (2, 7), (3, 9), and (4, 11) on a coordinate plane and draw a straight line through them.