Answer:
The equation of the line required is y=-6x-57.
Step-by-step explanation:
The point-slope form of a line is

Here, m represents the slope of the line.
It is given that a line passes through the point (–9, –3) with a slope of –6.
By substituting m=-6, x₁=-9, and y₁=-3 into the equation above, you get:


Next, subtract 3 from each side.


Therefore, the final equation of the line is y=-6x-57.