y = -2x + 8 would work
In fact.....any equation in the form y = -2x + b would work
Parallel means that the lines never touch, and for that to happen, they must have the same slope.
The slope of -2 means that an equation is y = -2x+4. In fact, the y-intercept doesn't matter because they are all parallel.
You are very welcome!
:P
let's start off by defining what a parallel line is:
-same slope
-different y intercept
now let's analyze our equation y=-2x-3
so now lets see our slope, and as we said; a parallel line must have the same slope, thus our slope will stay unchanged. (-2)
and lets see the y intercept. So the y-intercept needs to change and so you can put any value that is not equal to -3.
example would be:
y=-2x+5
hope this helped! :)