SOLUTION: graph y=-1/3x+1 y=1/3x+1 y=-3x+1 y=3x+1

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Question 121222: graph
y=-1/3x+1
y=1/3x+1
y=-3x+1
y=3x+1
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first two to help you get started

#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 -1 and the run is 3. This means that to go from point to point, we can go down 1 and over 3

So starting at , go down 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

#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