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Question 356931: I have a couple questions I have no idea how to answer. I hope this gets to you today, I'm already late with the assignment. I'm taking Elementary Algebra with The Art Institute of Pittsburgh, I'm going for a Bachelor's degree in digital photography; I really doubt that I will have to use these skills in my career choice but nonetheless I still have to answer them and understand them. The questions I'm having trouble with are graphing these equations,
1. Y = 2x – 8
2. 5x – 5 = 3x – y
3. Y = IxI – 5
4. 3x + 4 = 4x – 6
The number's of order are not accurate for the assignment, but the equations themselves are. I don't understand what it is I should do to find the answer. Please help!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The truth is that you never know what you're going to need in the future (otherwise, you'd probably just stick to making money as a psychic). So it helps to learn everything you can. You don't have to know everything, but it helps to get that exposure.
I'll do the first two to get you started. Please post these one at a time next time.
# 1
Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is 
Since this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1
So starting at , go up 2 units
and to the right 1 unit to get to the next point )
Now draw a line through these points to graph
 So this is the graph of through the points and
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# 2
 Start with the given equation.
 Subtract 3x from both sides.
 Combine like terms.
 Multiply every term by -1 to isolate y.
 Rearrange the equation.
Looking at we can see that the equation is in slope-intercept form where the slope is  and the y-intercept is 
Since this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1
So starting at , go down 2 units
and to the right 1 unit to get to the next point )
Now draw a line through these points to graph
 So this is the graph of through the points and
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