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Re: Line l is defined by [#permalink]
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OE

We know that the slope of line l is 2, but knowing the point of intersection is not enough to learn anything about the slope of line m . Therefore, a relationship between the two quantities cannot be determined.

Yes the stem is correct KarunMendiratta
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Re: Line l is defined by [#permalink]
Carcass wrote:
OE

We know that the slope of line l is 2, but knowing the point of intersection is not enough to learn anything about the slope of line m . Therefore, a relationship between the two quantities cannot be determined.

Yes the stem is correct KarunMendiratta


The OA must be D. But I'm just asking that the question says line \(l\) and line \(m\) intersect at (6,9), right?
So (6,9) must also lie on line \(l\)

y = 2x + 3
When x = 6, y = 15
How?
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Re: Line l is defined by [#permalink]
1
The official solution is correct to say that knowing the point of intersection is not enough to learn anything about the slope of a line.

However, the official solution is incorrect when it suggests the point (6, 9) lies on the line defined by y = 2x + 3
In order for any point to lie on the line y = 2x + 3, the x and y coordinates of that point must satisfy the given equation.
So, if (6, 9) lies on the line, then it must be the case that: 9 = 2(6) + 3
When we simplify this we get: 9 = 15
So, the point (6, 9) does not lie on the line defined by y = 2x + 3

If the equation of the line were rewritten as y = 2x - 3, then everything would be mathematically correct, and the answer would be D
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Re: Line l is defined by [#permalink]
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Thank you Sir
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