Final answer:
The equation y = -6x represents a straight line with a slope of -6 and a y-intercept at (0, 0). The line is parallel to the x-axis.
Step-by-step explanation:
The equation y = -6x represents a straight line with a slope of -6 and a y-intercept at (0, 0). The slope of -6 means that for every increase of 1 unit in the x-coordinate, the y-coordinate will decrease by 6 units. Since the y-intercept is at (0, 0), the line will pass through the origin.
This line is parallel to the x-axis because it has a slope of 0, not parallel to the y-axis which has an undefined slope. Therefore, the correct option is c) Slope of -6, y-intercept at (0, 0).