How to Graph y = 1/2x + 2

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