March 16th, 2016, 04:05 PM  #1 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  graph the line with the given slope m and yintercept b.
Is there away to find "fractions" or if not called fractions not sure what the correct word is I believe I have found out that if it's 3/2 it's found still between 1 and 2 ? just like if it was 5/2 it would still be the same I think as the bottom number is still 2 If that's wrong sorry. yet for this problem, and hopefully future ones is there away to know where the "fraction" is found on a graph? 
March 16th, 2016, 05:53 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,788 Thanks: 1037 Math Focus: Elementary mathematics and beyond 
Points (0, 2) and (3, 2) are on the graph. Can you see why?

March 16th, 2016, 07:43 PM  #3 
Math Team Joined: Nov 2014 From: Australia Posts: 686 Thanks: 243 
In answer to your question, yes there is a good way. Converting the fractions to mixed fractions will help a lot. For example, $\dfrac{3}{2} = 1\dfrac{1}{2}$, so you can then infer that it lies halfway between 1 and 2. Similarly, $\dfrac{5}{2} = 2\dfrac{1}{2}$, so you can infer that it lies halfway between 2 and 3. 
March 17th, 2016, 07:30 AM  #4 
Senior Member Joined: Dec 2015 From: holland Posts: 163 Thanks: 37 Math Focus: tetration 
y = 4/3x + c 3y = 4x + 3c fill in (0,2) 6 = 3c c = 2 y =4/3x  2 
March 17th, 2016, 09:11 AM  #5 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  I think I see why 0,2 would be as there is only 2 so I guess that means x is zero. I don't see how you got (3,2) from the 4/3 I am guessing? unless for some reason we are ignoring the 4? thanks for the help. 
March 17th, 2016, 09:15 AM  #6  
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  Quote:
 
March 17th, 2016, 09:17 AM  #7 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  
March 17th, 2016, 09:33 AM  #8 
Math Team Joined: Jul 2011 From: Texas Posts: 2,737 Thanks: 1387 
start at the yintercept, (0,2) ... do the rise/run to find at least one more point of the line. Connect.

March 17th, 2016, 11:37 AM  #9  
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  Quote:
Then M is where I go from after finding my y. I know that's not correct but It's how my memory is working. Or Maybe it's better to say My B is my starting point, then M is where I go from finding my starting point?  
March 17th, 2016, 12:33 PM  #10 
Senior Member Joined: Dec 2015 From: holland Posts: 163 Thanks: 37 Math Focus: tetration 
you just have to draw a line between the points {x=o and y=2} and{x=3 and y=2} you can do that with a lineal what do you don't understand? 

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graph, line, slope, yintercept 
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