The answer is:
y = -2x - 8
Step-by-step explanation:
Parallel lines have equal slopes; knowing that the slope of y = -2x + 6 is -2, we also know that the slope of the line that is parallel to y = -2x + 6 is -2.
Now, let's plug the data into point slope.
Point slope is
, where m is the slope and (x₁, y₁) is a point on the line.

Simplify.



Hence, the equation is y = -2x - 8.