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In the xy-plane, the points (a, 0) and (0, b) are on the lin

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In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 21 Nov 2017, 13:02
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88% (00:42) correct 12% (00:41) wrong based on 25 sessions
In the xy-plane, the points (a, 0) and (0, b) are on the line whose equation is \(y = \frac{1}{2} x + 10\)

Quantity A
Quantity B
a
b


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.
[Reveal] Spoiler: OA

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Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 19 Jan 2018, 01:28
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Explanation

to get the value for point a
we replace 0 for y in the given equation
this gives 0=1/2 x + 10
-10=1/2 x>>>-20 = x

for b
replace 0 for x to get
y= 10
(B)
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Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin [#permalink] New post 26 Jan 2018, 09:12
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We replace:
(a,0)--> 0=1/2(a)+10; so we get a=-20
(0,b)--> b=1/2(0)+10 we get b=10
b>a
Re: In the xy-plane, the points (a, 0) and (0, b) are on the lin   [#permalink] 26 Jan 2018, 09:12
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In the xy-plane, the points (a, 0) and (0, b) are on the lin

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