Final answer:
The equation y = 3x + 9 corresponds to a line with a slope of 3 and y-intercept of 9. In general form, the equation would be -3x + y - 9 = 0, but this does not match any options provided, and we may be dealing with an error in the given slope.
Step-by-step explanation:
The student has provided partial information, but based on the information given on slope and y-intercept, we can establish the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Therefore, the equation of a line with a slope of 3 and a y-intercept of 9 would be y = 3x + 9. To convert this into the general form, which typically looks like Ax + By + C = 0, we rearrange the terms to yield -3x + y - 9 = 0. This is not found among the options provided, and there seems to be a typo in the question. If the slope given was incorrect and should actually be -1/3, then the first option would represent the correct general form equation of the line with a y-intercept of 9, and would be written as 10x + 3y - 1 = 0 after adjusting the coefficients appropriately for the general form.