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: Write the coordinates for points P, Q, R, and S from the graph. Point P is at (2, 9). Point Q is at (6, 3). Point R is at (2, -3). Point S is at (-4, 3). The coordinates are: P: (2, 9) Q: (6, 3) R: (2, -3) S: (-4, 3) Step 2: Complete the table for the equation y = (1)/(2)x + 3. For x = -4: y = (1)/(2)(-4) + 3 = -2 + 3 = 1 For x = -2: y = (1)/(2)(-2) + 3 = -1 + 3 = 2 For x = 0: y = (1)/(2)(0) + 3 = 0 + 3 = 3 For x = 2: y = (1)/(2)(2) + 3 = 1 + 3 = 4 For x = 4: y = (1)/(2)(4) + 3 = 2 + 3 = 5 The completed table is: | x | -4 | -2 | 0 | 2 | 4 | |---|----|----|---|---|---| | y | 1 | 2 | 3 | 4 | 5 | Step 3: Draw the graph of y = (1)/(2)x + 3 on the provided grid. Plot the points from the table: (-4, 1), (-2, 2), (0, 3), (2, 4), and (4, 5). Draw a straight line connecting these points. The graph drawn on the provided grid correctly represents these points and the line.