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17 Jan 2008, 07:00
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On two-dimensional coordinate plane, line A is represented by the equation y = 3x + 1 and line B is represented by the equation y = 2x + 2. At which of the following coordinate pairs do lines A and B intersect?
A. (1, 2)
B. (1, 4)
C. (2, 5)
D. (3, 7)
E. (3, 10)
[spoiler]OA is B[/spoiler]
A. (1, 2)
B. (1, 4)
C. (2, 5)
D. (3, 7)
E. (3, 10)
[spoiler]OA is B[/spoiler]
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17 Jan 2008, 07:14
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intersect = sharing the same point. where it happens? where both equal.
A: y = 3x+1
B: y = 2x+2
3x+1=2x+2 -> x=1 eliminate C,D, and E.
plug x=1 to any one of the eq. above and get y=4
(1,4) B
A: y = 3x+1
B: y = 2x+2
3x+1=2x+2 -> x=1 eliminate C,D, and E.
plug x=1 to any one of the eq. above and get y=4
(1,4) B
17 Jan 2008, 07:50
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Super quick and easy way to see it.
y=2x+2
y=3x+1
We see that we can make up for one less x by adding 1 more at the end. Thus, x must equal 1.
Plug in 1 for either equation and y=4. Without even looking at the answers you can see the point is (1,4) without doing any real math and without writing anything down.
Answer B
y=2x+2
y=3x+1
We see that we can make up for one less x by adding 1 more at the end. Thus, x must equal 1.
Plug in 1 for either equation and y=4. Without even looking at the answers you can see the point is (1,4) without doing any real math and without writing anything down.
Answer B
