Final answer:
The given equation can be rearranged to slope-intercept form. The slope of the line is 3 and the y-intercept is 9.
Step-by-step explanation:
The given equation -9x+6y=18 can be rearranged to the slope-intercept form y = 9 + 3x. In this form, the coefficient of x represents the slope of the line, which is equal to 3. This means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 3. The y-intercept of the line is 9, which can be determined as the point where the line crosses the y-axis.