SOLUTION: How do I find the plotting points and the the y-intercept? y=4/3x+2

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Question 227638: How do I find the plotting points and the the y-intercept?
y=4/3x+2
Found 2 solutions by jim_thompson5910, drj:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=%284%2F3%29x%2B2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=4%2F3 and the y-intercept is b=2


Since b=2 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
slope=rise%2Frun

Also, because the slope is 4%2F3, this means:

rise%2Frun=4%2F3


which shows us that the rise is 4 and the run is 3. This means that to go from point to point, we can go up 4 and over 3



So starting at , go up 4 units


and to the right 3 units to get to the next point



Now draw a line through these points to graph y=%284%2F3%29x%2B2

So this is the graph of y=%284%2F3%29x%2B2 through the points and

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find the plotting points and the the y-intercept

y=4x%2F3%2B2

Step 1. First to draw this line, we need two points. Here, are Step-By-Step videos on how to plot the lines:

http://www.freedomuniversity.tv/courses/IntroAlgebra/Module3.html

Step 2. This equation is in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b). So in this example the slope is m=4%2F3 and the y-intercept is b=2 when x=0 or at point (0,2). We have the y-intercept as one point at (0,2).

Step 3. To plot other points choose a value of x and then find y. For example, let x=3, then for the equation y=4x%2F3%2B2 then y=4*3/3+2=6. So one point is (3, 6).

Step 4. Now we have two points (0,2) from Step 2 and (3,6) from Step 3 to draw our line. The graph of the line using these points is shown below

graph%28600%2C600%2C+-10%2C10%2C-10%2C10%2C+4x%2F3%2B2%29.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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