How to Graph y = 1/2x + 3

How to Graph y = 1/2x + 3 To graph the equation y = (1/2)x + 3, follow these steps: Step 1: Identify the slope and y-intercept. The equation is in slope-intercept form: y = mx + b. The slope (m) is 1/2, which means for every 2 units you move horizontally (along the x-axis), you move 1 unit vertically (along the y-axis). The y-intercept (b) is 3, which means the line crosses the y-axis at (0, 3). Step 2: Plot the y-intercept. Start by plotting the point (0, 3) on the y-axis. This is where the line crosses the y-axis. Step 3: Use the slope to find another point. From the point (0, 3), move 2 units to the right (positive x-direction) and 1 unit up (positive y-direction) because the slope is 1/2. Plot the point (2, 4). Step 4: Draw the line. After plotting the points (0, 3) and (2, 4), draw a straight line through them. This is the graph of the equation y = (1/2)x + 3. Step 5: Extend the line in both directions. You can extend the line in both directions and plot additional points using the slope, such as moving 2 units to the left and 1 unit down from (0, 3) to plot the point (-2, 2). Now you have the graph of y = (1/2)x + 3. The line is upward sloping due to the positive slope of 1/2.