SOLUTION: How do you solve this problem 4x plus 8 equals 6y?

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Question 128286: How do you solve this problem 4x plus 8 equals 6y?
Answer by JessicaGill(40) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is a linear equation. It can be solved by graphing to find all the points that will satisfy the equation. First let us convert the equation to slope intercept form y=mx%2Bb with m being the slope and b being the y-intercept (0,b).
4x%2B8=6y
Divide both sides by 6 to isolate the y variable
%284%2F6%29x%2B8%2F6=%286%2F6%29y
This leaves us with %284%2F6%29x%2B%288%2F6%29=y
We can simplify the fractions to get them to lowest terms
4%2F6=2%2F3 and 8%2F6=4%2F3
When we put the equation in the proper order we get y=%282%2F3%29x%2B%284%2F3%29
From this we can see that the slope is 2%2F3 and the y intercept is (0,4/3) or (0,1.33)
We can now graph the y intercept at (0,1.33) and take the slope which is rise%2Frun and locate our next point.
graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y=%282%2F3%29%2Ax%2B%284%2F3%29%29
Thanks!
Ms. G