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# Line m is the graph of the equation 2x + 3y = 7. If the point at which

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Math Expert
Joined: 02 Sep 2009
Posts: 51185
Line m is the graph of the equation 2x + 3y = 7. If the point at which  [#permalink]

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11 Dec 2017, 22:14
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:04) correct 23% (00:56) wrong based on 62 sessions

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Line m is the graph of the equation 2x + 3y = 7. If the point at which m crosses the y-axis has coordinates (0,k), what is the value of k?

(A) 0
(B) 1
(C) 2 1/3
(D) 3 1/2
(E) 7

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Joined: 22 May 2016
Posts: 2207
Line m is the graph of the equation 2x + 3y = 7. If the point at which  [#permalink]

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12 Dec 2017, 14:23
Bunuel wrote:
Line m is the graph of the equation 2x + 3y = 7. If the point at which m crosses the y-axis has coordinates (0,k), what is the value of k?

(A) 0
(B) 1
(C) 2 1/3
(D) 3 1/2
(E) 7

2x + 3y = 7

Set x equal to 0 to find y-intercept (plug x = 0 into the graphed line's equation).

(Coordinates (0,k) also tell you that x = 0.)

2x + 3y = 7
2(0) + 3y = 7
3y = 7
y = 7/3 = 2 1/3

Manager
Joined: 24 Nov 2016
Posts: 152
Line m is the graph of the equation 2x + 3y = 7. If the point at which  [#permalink]

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12 Dec 2017, 14:57
Bunuel wrote:
Line m is the graph of the equation 2x + 3y = 7. If the point at which m crosses the y-axis has coordinates (0,k), what is the value of k?

(A) 0
(B) 1
(C) 2 1/3
(D) 3 1/2
(E) 7

The point at which 'm' crosses the y-axis with coordinates (0,k) is the y-intercept of the line 'm'.
So, to find the y-intercept you must set x = 0 and solve for y in the equation.

$$2x+3y=7; 2(0)+3y=7; 3y=7; y=7/3; y=2(1/3)$$

Line m is the graph of the equation 2x + 3y = 7. If the point at which &nbs [#permalink] 12 Dec 2017, 14:57
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