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Question

Select the equation whose graph is given alongside:


A

y = 2x + 2

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B

2x + y = -4

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C

y - 2x = 4

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D

y = 2x - 4

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Solution

The correct option is D

y = 2x - 4


By looking at the graph we can easily say that the line passes through the points (2,0) and (0,-4).

We can identify which line passes through these points by substituting the points in the equation of the line.

Plugging x = 2, y = 0 in equation y = 2x - 4, we get

0 = 2(2) - 4 = 0

Plugging x = 0, y = -4 in equation y = 2x - 4, we get

-4 = 2(0) - 0 = -4

The equation y = 2x - 4 is satisfied by both the points. So, given graph belongs to y = 2x - 4.


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