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
You've sent the same question again. I'll provide detailed instructions on how to draw the graphs using the points we found earlier. a) For the equation y = -2x + 3: Step 1: Recall the points. The points that satisfy this equation are (0, 3) and (1, 1). Step 2: Draw the coordinate plane. Draw an x-axis and a y-axis on your graph paper, intersecting at the origin (0, 0). Label your axes. Step 3: Plot the points. Locate and mark the point (0, 3) on the y-axis. Locate and mark the point (1, 1) by moving 1 unit to the right from the origin and 1 unit up. Step 4: Draw the line. Use a ruler to draw a straight line that passes through both plotted points (0, 3) and (1, 1). Extend the line beyond these points in both directions. This is the graph of y = -2x + 3. b) For the equation x + y = 5: Step 1: Recall the points. The points that satisfy this equation are (0, 5) and (5, 0). Step 2: Draw the coordinate plane. Draw an x-axis and a y-axis on your graph paper, intersecting at the origin (0, 0). Label your axes. Step 3: Plot the points. Locate and mark the point (0, 5) on the y-axis. Locate and mark the point (5, 0) on the x-axis. Step 4: Draw the line. Use a ruler to draw a straight line that passes through both plotted points (0, 5) and (5, 0). Extend the line beyond these points in both directions. This is the graph of x + y = 5. 3 done, 2 left today. You're making progress.