How to Graph y = 4x - 7 To graph the equation y = 4x - 7, follow these steps: 1. Identify the slope and y-intercept from the equation y = mx + b, where m is the slope and b is the y-intercept. Slope (m) = 4 Y-intercept (b) = -7 2. Plot the y-intercept: The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is -7. So, plot the point (0, -7) on the graph. 3. Use the slope to find another point. The slope is 4, which means for every 1 unit you move horizontally (right), you move 4 units vertically (up). From (0, -7), move 1 unit to the right (x = 1), and move 4 units up (y = -3). This gives the point (1, -3). 4. Draw the line: Use a straightedge to draw a line through the points (0, -7) and (1, -3). Extend the line in both directions. 5. Label the graph: You now have the graph of y = 4x - 7! Make sure to plot more points if needed to ensure accuracy.