SOLUTION: Can you graph the following? y=2x+1 y=2/3x+1 Thanks for your help

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Question 119743: Can you graph the following?
y=2x+1


y=2/3x+1
Thanks for your help

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

...slope-intercept form
.....standard form


...slope-intercept form
.....standard form


Solved by pluggable solver: Solve the System of Equations by Graphing


Let's look at the second equation


Multiply both sides of the second equation by the LCD 3



Distribute



---------




So our new system of equations is:










In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


Start with the given equation



Add to both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce



Now lets graph (note: if you need help with graphing, check out this solver)



Graph of




So let's solve for y on the second equation


Start with the given equation



Add to both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce





Now lets add the graph of to our first plot to get:


Graph of (red) and (green)


From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)


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