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Question 1210246: can you help me and show me the coordianites on a graph for 2x-3y=12
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
can you help me and show me the coordinates on a graph for 2x-3y=12
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First what you need to know is that it is easy.
It is the easiest thing to learn and to do after learning the multiplication table.
OK, let' start.
From the given equation, 2x - 3y = 12, isolate the term with 'y' on the right side 2x - 12 = 3y.
(you move the term 3y from the left side to the right side, changing the sign;
what you get, 2x - 12 = 3y, is the same as 3y = 2x - 12).
Then you divide all the terms by 3, and you get y =  .
In this formula, take x= 0, for simplicity. You will get y =  = 0 - 4 = -4.
Next, take x = 3. You will get y =  = 2 - 4 = -2.
You make the table
x | y
------+-------
0 | -4
3 | -2
So, you have two points. One point is (x,y) = (0,-4). The other point is (x,y) = (3,-2).
You can depict/show these point in the graph paper.
Having two points on a paper, you can draw a straight line through these points, using straightedge and a pencil.
This line is the plot you want to get.
Solved.
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On how to depict a point, given by its coordinates, on graph paper, see this Youtube video
https://www.youtube.com/watch?v=XlqZBW4F3YA
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
The equation is a linear equation, so you only need to plot two points to draw the line.
The other tutor shows one way to find two points by solving the given equation for y, then choosing two convenient values of x to find the corresponding y values, giving the two needed points.
While that method is valid, it is more work than necessary. There is no need to solve the equation for y; it is less work to simply choose "nice" values for the equation in its given form.
Specifically, it is easy to choose x=0 and find the corresponding value of y, and to choose y=0 and find the corresponding value of x. Note that that gives you the x- and y-intercepts of the graph, which might be of particular importance in a particular problem.
x=0:
2(0)-3y=12
-3y=12
y=12/(-3)=-4
One point on the graph is (0,-4)
y=0:
2x-3(0)=12
2x=12
x=6
Another point on the graph is (6,0)
Plot those two points and draw the line containing them.
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