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# In the xy-plane, the graph of the equation y = -1/2*x+3 passes through

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Math Expert
Joined: 02 Sep 2009
Posts: 55266
In the xy-plane, the graph of the equation y = -1/2*x+3 passes through  [#permalink]

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26 Nov 2018, 00:29
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:14) correct 36% (01:09) wrong based on 73 sessions

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In the xy-plane, the graph of the equation y = -1/2*x + 3 passes through the point (c,-c). What is the value of c ?

A. -6
B. -3
C. 2
D. 3
E. 6

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Re: In the xy-plane, the graph of the equation y = -1/2*x+3 passes through  [#permalink]

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26 Nov 2018, 22:45
Bunuel wrote:
In the xy-plane, the graph of the equation y = -1/2*x + 3 passes through the point (c,-c). What is the value of c ?

A. -6
B. -3
C. 2
D. 3
E. 6

from the equation of line y = -1/2*x + 3

plot on graph we get a -ve slope line

to find value of c plug in values of option for option A we get 6=6 so its correct..
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Intern
Joined: 18 Oct 2018
Posts: 2
Re: In the xy-plane, the graph of the equation y = -1/2*x+3 passes through  [#permalink]

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06 Dec 2018, 03:24
2
Bunuel wrote:
In the xy-plane, the graph of the equation y = -1/2*x + 3 passes through the point (c,-c). What is the value of c ?

A. -6
B. -3
C. 2
D. 3
E. 6

I recommend the fastest solution:

Plug (c, -c) into the equation:
-c = -1/2*c + 3
-1/2*c = 3
-c = 6
c = -6

Re: In the xy-plane, the graph of the equation y = -1/2*x+3 passes through   [#permalink] 06 Dec 2018, 03:24
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