SOLUTION: Can anyone tell me how to graph these equations: y = 3x + 1 and y = 1/3x + 1?

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Question 121255: Can anyone tell me how to graph these equations: y = 3x + 1 and y = 1/3x + 1?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
#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 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

#2

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 3. This means that to go from point to point, we can go up 1 and over 3

So starting at , go up 1 unit

and to the right 3 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