Match each equation with its graph. Use the graph of y= x, shown in red, to help.
2 answers:
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Answer: (0,3) and (2,2)
There are infinitely many possible answers.
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Explanation:
If we plug in x = 0 and solve for y, then we get,
x+2y = 6
0+2y = 6
2y = 6
y = 6/2
y = 3
So x = 0 and y = 3 pair up together. We get the ordered pair (x,y) = (0,3)
This is one point on the line.
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Pick any other value you want for x. Let's say we go for x = 2
x+2y = 6
2+2y = 6
2y = 6-2
2y = 4
y = 4/2
y = 2
The point (x,y) = (2,2) is also on the line, and also another solution.
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One last example. Let's plug in x = 4
x+2y = 6
4+2y = 6
2y = 6-4
2y = 2
y = 2/2
y = 1
The point (x,y) = (4,1) is another solution.
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Refer to the graph below.
