Final answer:
The equation of the line parallel to 9x - y = 18 and passing through (-1,0) is y = -9x - 9.
Step-by-step explanation:
To find the equation of a line parallel to a given line and passing through a given point, we can use the fact that parallel lines have the same slope. The given line has the equation 9x - y = 18. To find its slope, we can rearrange the equation to the slope-intercept form y = mx + b, where m is the slope. Therefore, the equation of the line parallel to 9x - y = 18 and passing through (-1,0) is y = -9x - 9.