SOLUTION: What we need to do is graph each equation on a seperate coordinate grid. Please show grid for the following: y=3x y=x-1 y=2x-1 Please advise. Thank you.

Algebra ->  Graphs -> SOLUTION: What we need to do is graph each equation on a seperate coordinate grid. Please show grid for the following: y=3x y=x-1 y=2x-1 Please advise. Thank you.      Log On


   

Question 82888: What we need to do is graph each equation on a seperate coordinate grid. Please show grid for the following:
y=3x
y=x-1
y=2x-1
Please advise. Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To graph y=3x we simply need two points to draw a line through. So lets find the first point:

Let x=0
y=3%280%29 Plug in x=0

y=0 Multiply

So we have a point (0,0)
Here is the point (0,0) plotted on a coordinate system

Now lets find the second point:
Let x=1
y=3%281%29 Plug in x=6

y=3 Multiply


So we have a point (1,3). Add this to our graph
Here are the points (0,0) and (1,3) plotted on a coordinate system
Now draw a straight line through these points

Graph of y=3x with the points (0,0) and (1,3)

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To graph y=x-1 we simply need two points to draw a line through. So lets find the first point:

Let x=0
y=%280%29-1 Plug in x=0

y=-1 Subtract

So we have a point (0,-1)
Here is the point (0,-1) plotted on a coordinate system

Now lets find the second point:
Let x=1
y=%281%29-1 Plug in x=6

y=0 Multiply


So we have a point (1,0). Add this to our graph
Here are the points (0,-1) and (1,0) plotted on a coordinate system
Now draw a straight line through these points

Graph of y=x-1 with the points (0,-1) and (1,0)

-------------------------------------------------------------------------
To graph y=2x-1 we simply need two points to draw a line through. So lets find the first point:

Let x=0
y=2%280%29-1 Plug in x=0

y=-1 Multiply and subtract

So we have a point (0,-1)
Here is the point (0,0) plotted on a coordinate system

Now lets find the second point:
Let x=1
y=2%281%29-1 Plug in x=6

y=2-1 Multiply

y=1 Subtract


So we have a point (1,1). Add this to our graph
Here are the points (0,-1) and (1,1) plotted on a coordinate system
Now draw a straight line through these points

Graph of y=2x-1 with the points (0,-1) and (1,1)