How to Graph the Equation y = 3/4x + 1

How to Graph the Equation y = 3/4x + 1 1. Write down the equation: y = (3/4)x + 1 2. Identify the slope and y-intercept: The slope (m) is 3/4, which means for every 4 units you move horizontally, you move 3 units vertically. The y-intercept (b) is 1, meaning the line crosses the y-axis at (0, 1). 3. Plot the y-intercept (0, 1) on the graph. 4. Use the slope to find another point: From (0, 1), move 4 units to the right (positive x direction) and 3 units up (positive y direction). This gives the point (4, 4). 5. Plot the second point (4, 4) on the graph. 6. Draw a straight line through the points (0, 1) and (4, 4). 7. Extend the line in both directions. 8. Label the axes and the points for clarity.