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Re: In the xy-plane, line k has slope 2 and passes through the p [#permalink]
3
butt1409 wrote:
Nishan wrote:
The answer is D. There isn't enough info to find r. If were given another point on the line we could have found out r by using the value of the slope.



Why cant the answer be 6, mate?

We know that slope = 2 = Rise / Run

Since, Point (3,r) as 3 Run and r Rise, we can write, r/3 = 2

=> r = 6

Hence A!

What do you think?



r = 6 is one possible value of r
In order for r to equal 6, it must be the case that the line passes through the origin (0, 0)
In this case, the slope between (0, 0) and (3, 6) is 2
If r = 6, then Quantity A is greater


Now let's see what happens if the line does not pass through the origin
Let's say the line passes through the point (0, -6)
In this case, we need the slope from (0, -6) to (3, r) to be 2
Slope = (r - -6)/(3 - 0) = 2
Simplify: (r + 6)/3 = 2
Solve: r = 0
If r = 0, then Quantity B is greater


Answer: D
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Re: In the xy-plane, line k has slope 2 and passes through the p [#permalink]
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Re: In the xy-plane, line k has slope 2 and passes through the p [#permalink]
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