To graph the equation y = 2/5 - 1, you can follow these steps:
1. Identify the slope and y-intercept of the equation. In this case, the equation is in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. From the given equation, the slope is 2/5 and the y-intercept is -1.
2. Plot the y-intercept: The y-intercept is the point where the graph intersects the y-axis. In this case, the y-intercept is -1, so you would plot the point (0, -1).
3. Determine the slope: The slope of the equation is 2/5, which means that for every 5 units you move horizontally (to the right), you move 2 units vertically (up or down).
4. Use the slope to find additional points: Starting from the y-intercept (0, -1), use the slope to find other points on the graph. Move 5 units to the right from the y-intercept and then move 2 units up to find another point. This will give you the point (5, 1). You can also move 5 units to the left from the y-intercept and then move 2 units down to find another point, which would be (-5, -3).
5. Plot the points: Plot the points (0, -1), (5, 1), and (-5, -3) on your graph.
6. Draw the line: Once you have plotted the points, draw a straight line through them. This line represents the graph of the equation y = 2/5 - 1.
Based on these steps, the correct answer would be D: Plot a point at the y-intercept.