SOLUTION: 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

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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