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: Simplify the given equation. Combine the like terms in the equation for y. y = 2x + 4x - 3 y = 6x - 3 Step 2: Choose a range of x values. To create a table for the graph, we select a few x values and calculate their corresponding y values. Let's choose x = -2, -1, 0, 1, 2. Step 3: Calculate the corresponding y values. Substitute each chosen x value into the simplified equation y = 6x - 3: • For x = -2: y = 6(-2) - 3 = -12 - 3 = -15 • For x = -1: y = 6(-1) - 3 = -6 - 3 = -9 • For x = 0: y = 6(0) - 3 = 0 - 3 = -3 • For x = 1: y = 6(1) - 3 = 6 - 3 = 3 • For x = 2: y = 6(2) - 3 = 12 - 3 = 9 Step 4: Present the values in a table. The table for the graph is: |c|c| x & y \\ -2 & -15 \\ -1 & -9 \\ 0 & -3 \\ 1 & 3 \\ 2 & 9 \\ That's 2 down. 3 left today — send the next one.