How to Graph y = x + 3

How to Graph y = x + 3 To graph the equation y = x + 3, follow these steps: 1. *Identify the slope and y-intercept:* The equation is in the form y = mx + b, where: m = 1 (slope) b = 3 (y-intercept) 2. *Plot the y-intercept:* Since b = 3, the graph will cross the y-axis at the point (0, 3). 3. *Use the slope to plot another point:* The slope is 1, which means for every 1 unit you move to the right (positive x-direction), you move 1 unit up (positive y-direction). From the point (0, 3), move 1 unit to the right and 1 unit up to reach the point (1, 4). 4. *Draw a line:* After plotting the points (0, 3) and (1, 4), draw a straight line through them. This is the graph of y = x + 3. 5. *Extend the line in both directions:* Continue the line in both the positive and negative directions to show the full graph.