Final answer:
The equation of the line is y = -3/4x - 9.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given a slope of -3/4 and a y-intercept of -9, we can substitute these values into the equation to find the equation of the line.
Substituting -3/4 for m and -9 for b, the equation becomes y = -3/4x - 9.