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're on a roll — here are the steps to draw the straight line graphs for these equations. a) For the equation y = x + 1: Step 1: Find two points that satisfy the equation. Choose two values for x and calculate the corresponding y values. • Let x = 0: y = 0 + 1 y = 1 This gives the point (0, 1). • Let x = 1: y = 1 + 1 y = 2 This gives the point (1, 2). Step 2: Plot the points and draw the line. Plot the points (0, 1) and (1, 2) on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of y = x + 1. The points for the graph are: Point 1: (0, 1), Point 2: (1, 2) b) For the equation y - x = 2: Step 1: Find two points that satisfy the equation. First, rewrite the equation as y = x + 2. Choose two values for x and calculate the corresponding y values. • Let x = 0: y = 0 + 2 y = 2 This gives the point (0, 2). • Let x = 1: y = 1 + 2 y = 3 This gives the point (1, 3). Step 2: Plot the points and draw the line. Plot the points (0, 2) and (1, 3) on a coordinate plane. Draw a straight line passing through these two points. This line represents the graph of y - x = 2. The points for the graph are: Point 1: (0, 2), Point 2: (1, 3) Got more? Send 'em!