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In a rectangular coordinate system, line k has x-intercept 4

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In a rectangular coordinate system, line k has x-intercept 4 [#permalink] New post   10 Dec 2020, 10:46
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In a rectangular coordinate system, line k has x-intercept 4 and slope –2.

Quantity A
Quantity B
The y-intercept of k
2



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Ash1313
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Re: In a rectangular coordinate system, line k has x-intercept 4 [#permalink] New post   23 Dec 2020, 00:49
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We know that Y= mX + b , m=slope, b = y-intercept, also x-intercept is when y=0
===> -2x + b = 0, x=4
So: -2(4) +b=0 => b or y-intercept = 8
Hence: The quantity in Column A is greater.
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Re: In a rectangular coordinate system, line k has x-intercept 4 [#permalink] New post   05 Jan 2021, 14:10
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The x coordinate is (4,0) and the Y coordinate is (0,k), the formula for slope is \(\frac{(Y-Y1)}{(X-X1)}\)
\(\frac{(k-0)}{(0-4)}\) = slope = -2
=> k = 8
so, the answer is A
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Re: In a rectangular coordinate system, line k has x-intercept 4 [#permalink]
05 Jan 2021, 14:10
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