Question 622: i'm trying to help my daughter with her math homework and i'm stuck,i have 6 problems to graph input,rule,output,ordered pair, 1. y=-3x,x+y=-3,y-2x=4,2y=x-6,x-3y=-9, and y=1/3 x + 1. If you can help I would appreciate it..
Answer by AnlytcPhil(1116)   (Show Source):
You can put this solution on YOUR website!>>i'm trying to help my daughter with her math homework and i'm stuck,i have 6 problems to graph input,rule,output,ordered pair, 1. y=-3x,x+y=-3,y-2x=4,2y=x-6,x-3y=-9, and y=1/3 x + 1. If you can help I would appreciate it.<<
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I'll just do one of these. They're all done the same way.
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2y = x - 6
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1. Solve this for y by dividing both sides by 2:
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y = x/2 - 3
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this is the "rule"
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2. Arbitrarily choose any value of x. (You'll probably want to pick whole
numbers divisible by 2 so that y will come out a whole number, although
fractions are perfectly acceptable, just more difficult to work with).
This value you chose arbitrarily for x is called an "input".
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3. Suppose we choose input value x=4. Substitute this input value for x in
y = x/2 - 3
y = (4)/2 - 3
y = 2 - 3
y = -1
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This value of y = -1, is called the "output" for the input of x=4.
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4. The "ordered pair" is (x, y) or (input, output), which in this case is
` ` (4,-1)
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5. Repeat steps 2-4 several times. If you also used input values for x, say,
-2, 2, and 0, you get output values for y of -4, -2, and -3, respectively. So your ordered pairs are (4,-1), (-2.-4), (2,-2), and (0,-3).
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6. Now plot all these points on a graph, and if you haven't made any mistakes, it will be possible to draw one line that passes through all of them, like this:
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Edwin J
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