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
Hey Evia, good to see you again. Here are the steps to draw the straight line graphs for the given equations. a) For the equation y = -2x + 3: Step 1: Find two points that satisfy the equation. Choose two values for x and calculate the corresponding y values. • Let x = 0: y = -2(0) + 3 y = 0 + 3 y = 3 This gives the point (0, 3). • Let x = 1: y = -2(1) + 3 y = -2 + 3 y = 1 This gives the point (1, 1). Step 2: Plot the points and draw the line. Plot the points (0, 3) and (1, 1) on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of y = -2x + 3. b) For the equation x + y = 5: Step 1: Find two points that satisfy the equation. Choose two values for x (or y) and calculate the corresponding y (or x) values. • Let x = 0: 0 + y = 5 y = 5 This gives the point (0, 5). • Let y = 0: x + 0 = 5 x = 5 This gives the point (5, 0). Step 2: Plot the points and draw the line. Plot the points (0, 5) and (5, 0) on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of x + y = 5. Send me the next one 📸