SOLUTION: Do the graphical representation for the following equation: y-2/3x=-1/2 Please supply a detailed explanation.

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Question 182500: Do the graphical representation for the following equation:
y-2/3x=-1/2
Please supply a detailed explanation.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

y-%282%2F3%29x=-1%2F2
It follows Slope-Intercept Form system%28y=mx%2Bb%29--->y=%282%2F3%29x-%281%2F2%29
wheresystem%28m=Slope=Rise%2FRun=2%2F3%2Cb=YIntercept=-1%2F2%29
We see the graph:

Now, having Slope=m=2%2F3, means "Rise" on the Y-Axis of "2"--->UP or DOWN in the increment of "2" from the Y-Intercept.
From -1%2F2, UP by "2" is "1-1/2=1.50" right?
Next, "RUN" means on the X -Axis of increment of "3".
From -1%2F2, since it's Y-Intercept, x=0 and follows point (0,-1/2)right? So "RUN" meaning to the left or right of the X-Axis and we'll go the right first. So from "0" moving "3", X-intercept will be "3".
So our first point from the Y-Intrecept is (x,y)=(3,1.5)
.
Next, again 3 steps to the right of X-axis= 3%2B3=highlight%286%29
Also, 2 steps Up of the Y-Axis=1.5%2B2=highlight%283.5%29
Next point,-------> (6,3.5)
.
Next, again 3 steps on the X-axis=6%2B3=highlight%289%29
Also, 2 steps Up on the Y-Axis=3.5%2B2=highlight%285.5%29
Next point,-----------> (9,5.5)
.
We now go the "Left" and "Down" from the Y-Interecept.
From "0" to the left of 3 steps=highlight%28-3%29
From "-1/2" down 2=highlight%28-2.5%29
So our point will be --------> (-3,-2.5)
Next, 3 more steps to the left=-3%2B-3=highlight%28-6%29
Also, 2 steps more down=-2.5%2B-2=highlight%28-4.5%29
Point will be ,---------> (-6,-4,5)
Again, 3 more steps ot the left=-6%2B-3=highlight%28-9%29
Also, 2 more steps down=-4.5%2B-2=highlight%28-6.5%29
Point will be,---------> (-9,-6.5)
Now we plot all Points:
---->
Thank you,
Jojo