SOLUTION: Write an equation for the line parallel to y=-2x-5 that contains P(-8,4)

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Question 701864: Write an equation for the line parallel to y=-2x-5 that contains P(-8,4)
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Two lines are parallel when they have the same slope.
The standard equation of a line is Y = mX + b
Where m is the slope and b is a constant.
In the given equation Y = -2X - 5, the slope is -2.
Now we have to use the given point information to solve for the constant.
The given point information tells us that when X = -8, then Y = 4.
Plug those values into the standard equation of a line
4+=+-2%2A%28-8%29+%2B+b
Simplify
4+=+16+%2B+b
Subtract 16 from both sides
highlight%28-12+=+b%29
Now we know that the slope is -2 and the constant is -12 so we can write the equation of the line.
y = -2x - 12