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)   (Show Source): You can put this solution on YOUR website!


It follows Slope-Intercept Form --->
where
We see the graph:

Now, having , means "Rise" on the Y-Axis of "2"--->UP or DOWN in the increment of "2" from the Y-Intercept.
From , UP by "2" is "1-1/2=1.50" right?
Next, "RUN" means on the X -Axis of increment of "3".
From , since it's Y-Intercept, 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=
Also, 2 steps Up of the Y-Axis=
Next point,-------> (6,3.5)
.
Next, again 3 steps on the X-axis=
Also, 2 steps Up on the Y-Axis=
Next point,-----------> (9,5.5)
.
We now go the "Left" and "Down" from the Y-Interecept.
From "0" to the left of 3 steps=
From "-1/2" down 2=
So our point will be --------> (-3,-2.5)
Next, 3 more steps to the left=
Also, 2 steps more down=
Point will be ,---------> (-6,-4,5)
Again, 3 more steps ot the left=
Also, 2 more steps down=
Point will be,---------> (-9,-6.5)
Now we plot all Points:
---->
Thank you,
Jojo

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