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Line k in the xy-plane has y-intercept 6 and contains the point (a, -2
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Updated on: 15 Mar 2023, 12:25
Updated on: 15 Mar 2023, 12:25
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Question Stats:
69% (01:05) correct
30% (01:42) wrong based on 26 sessions
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Line k in the xy-plane has y-intercept 6 and contains the point (a, -2), where a > 0
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The slope of the line k |
1 |
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Originally posted by Kimberly99 on 15 Mar 2023, 12:09.
Last edited by Carcass on 15 Mar 2023, 12:25, edited 3 times in total.
Last edited by Carcass on 15 Mar 2023, 12:25, edited 3 times in total.
Line k in the xy-plane has y-intercept 6 and contains the point (a, -2
[#permalink]
15 Mar 2023, 12:09
15 Mar 2023, 12:09
1
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Hi Carcass
Could you help with this question please? Thanks for your time in advanced.
Could you help with this question please? Thanks for your time in advanced.
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Re: Line k in the xy-plane has y-intercept 6 and contains the point (a, -2
[#permalink]
17 Mar 2023, 05:55
17 Mar 2023, 05:55
1
Given that Line k in the xy-plane has y-intercept 6 and contains the point (a, -2), where a > 0
Using general equation of a line, y = mx + b
where m is the slope of the line and b is the y-intercept
y-intercept is 6
=> Equation is y = mx + 6
Line contains point (a,-2)
=> (a,-2) will satisfy the equation of the line
=> -2 = m*a + 6
=> m = \(\frac{-8}{a}\)
Since a> 0
=> m = \(\frac{Positive}{Negative}\) => Negative
=> Quantity A (Slope of like k, m < 0) < Quantity B (1)
So, Answer will be B
Hope it helps!
Using general equation of a line, y = mx + b
where m is the slope of the line and b is the y-intercept
y-intercept is 6
=> Equation is y = mx + 6
Line contains point (a,-2)
=> (a,-2) will satisfy the equation of the line
=> -2 = m*a + 6
=> m = \(\frac{-8}{a}\)
Since a> 0
=> m = \(\frac{Positive}{Negative}\) => Negative
=> Quantity A (Slope of like k, m < 0) < Quantity B (1)
So, Answer will be B
Hope it helps!
