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Question 146533: If anyone could help me out with these graphing questions, I would REALLY appreciate it! I'm completely lost! Thank you so much!
Graph the equation:
a) y= 3x + 2
b) y= -x
c) y= 1/2x + 2
d) y= x+2
e) y= -1/4x - 1
f) y= 3x+3
g) -3y= 6x
h) -5x + 3y -15 = 0
i) 2x + y = 3
j) x-2y+2=0
If you could just show me how to do a few of these (like how to start them out) I think I'd be able to figure it out. I just wanted to give some examples of what I'm doing.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Anytime you want to graph an equation, you NEED to solve for "y" first. So for problems g, h, i, and j, you need to solve for y
I'll do the first 3 to get you started.
a)
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 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1
So starting at , go up 3 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
b)
Looking at  we can see that the equation is in slope-intercept form where the slope is  and the y-intercept is  note: really looks like 
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 -1 and the run is 1. This means that to go from point to point, we can go down 1 and over 1
So starting at , go down 1 unit
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
c)
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 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2
So starting at , go up 1 unit
and to the right 2 units 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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