Answer:
The equation parallel to the given equation, and passing through the given point is
y = -3x - 3
Step-by-step explanation:
Given the line:
y = -3x - 1 ................................................(1)
The slope of this equation is -3
A line parallel to this line has the same slope as this, but a different y-intercept.
Let the parallel line be
y = -3x + b ..............................................(2)
To find the unknown b, we use the given point (8, -27), i.e x = 8, y = -27 into equation (2) and solve for b
-27 = -3(8) + b
-27 = -24 + b
b = -27 + 24
= -3
Substitute the value of b into (2), we have
y = -3x - 3