How to Graph y = x - 3 (y = x minus 3)

How to Graph y = x - 3 (y = x minus 3) To graph the equation y = x - 3, follow these steps: 1. **Identify the equation**: The equation y = x - 3 is already in slope-intercept form (y = mx + b), where: m = 1 (the slope of the line) b = -3 (the y-intercept, where the line crosses the y-axis) 2. **Plot the y-intercept**: The y-intercept (b) is -3. So, plot the point (0, -3) on the graph. 3. **Use the slope**: The slope (m) is 1. This means for every 1 unit you move up, you move 1 unit to the right. Starting from (0, -3), plot the next point by moving 1 unit up and 1 unit to the right. This gives you the point (1, -2). 4. **Plot additional points**: Continue using the slope (1) to plot more points: From (1, -2), go up 1 unit and 1 unit to the right to plot (2, -1). From (2, -1), go up 1 unit and 1 unit to the right to plot (3, 0), and so on. 5. **Draw the line**: Once you have at least two points (like (0, -3) and (1, -2)), draw a straight line through them. This is the graph of the equation y = x - 3. Example Points: (0, -3) (1, -2) (2, -1) (3, 0) Final Step: Draw a straight line through these points, extending it in both directions. This is the graph of y = x - 3, a straight line that crosses the y-axis at (0, -3) and has a slope of 1.