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At what point does the line y = 2x + 6 intersect the x-axis?

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Math Expert
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At what point does the line y = 2x + 6 intersect the x-axis?  [#permalink]

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New post 25 Feb 2019, 02:34
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

66% (00:41) correct 34% (00:43) wrong based on 35 sessions

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Re: At what point does the line y = 2x + 6 intersect the x-axis?  [#permalink]

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New post 25 Feb 2019, 05:22
1
When the line intersects x-axis the y coordinate will be 0. ( So option A, B is not possible)
Now, when y=0, the eqn becomes : 0 = 2x + 6 ==> x= -3
Hence the intersecting point will be (-3,0)
Ans D.
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Re: At what point does the line y = 2x + 6 intersect the x-axis?  [#permalink]

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New post 25 Feb 2019, 21:43

Solution


Given:
In this question, we are given
    • The equation of a line y = 2x + 6

To find:
We need to determine
    • The coordinate of the point at which the given line intersects the x-axis

Approach and Working:
    • If a line intersects x-axis at a certain point, then the y-coordinate of that point becomes 0.

Replacing y = 0 in the given equation, we get
    • 0 = 2x + 6
    Or, 2x = -6
    Or, x = -3

Therefore, the coordinate of the point = (-3, 0)

Hence, the correct answer is option D.

Answer: D

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Re: At what point does the line y = 2x + 6 intersect the x-axis?  [#permalink]

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New post 01 Mar 2019, 10:54
Bunuel wrote:
At what point does the line y = 2x + 6 intersect the x-axis?

A. (0, −3)
B. (0, 6)
C. (−6, 0)
D. (−3, 0)
E. (3, 0)



To find the x-intercept, we let y= 0. Plugging in zero for y, we have:

0 = 2x + 6

-6 = 2x

-3 = x

So the point at which the given line intersects the x-axis is (-3,0).

Answer: D
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Re: At what point does the line y = 2x + 6 intersect the x-axis?   [#permalink] 01 Mar 2019, 10:54
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