The equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, the slope (m) is -5 and the y-intercept (b) is -1.
Step 2: Plot the y-intercept
The y-intercept is the point where the line crosses the y-axis. Since the y-intercept is -1, plot the point (0, -1) on the graph.
Step 3: Use the slope to find another point
The slope is -5, which can be written as -5/1. This means that for every 1 unit you move to the right along the x-axis, you move down 5 units along the y-axis. Starting from the y-intercept (0, -1), move 1 unit to the right and 5 units down. This gives you the point (1, -6).
Step 4: Draw the line
Connect the two points (0, -1) and (1, -6) with a straight line. Extend the line in both directions.
Final Answer:
The graph of the equation y = -5x - 1 is a straight line passing through the points (0, -1) and (1, -6).