Final answer:
The slope of the equation is -27/2 and the y-intercept is 9.
Step-by-step explanation:
The slope and y-intercept of the equation 9 + 27/2x = -3/2y can be found by rearranging the equation into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope, we isolate the y variable by dividing both sides of the equation by -3/2. This gives us y = (-27/2)x - 3/2. From this equation, we can see that the slope, represented by m, is equal to -27/2.
The y-intercept, represented by b, is the value of y when x is 0. In this equation, the y-intercept is equal to 9. Therefore, the slope is -27/2 and the y-intercept is 9.