Question

Which of the following lines is parallel to x = 4

Answer 1

Answer:

O4) x = y

Step-by-step explanation:

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Answer 2

The answer is 3) x = 2.
If you graph each of the answer choices, you are able to see which line is parallel to x = 4. x = 4 is a vertical line that crosses the x axis at (4, 0)

Answer 1 simplifies to y = 3, which is a horizontal line that crosses the y axis at (0, 3). Since it is a horizontal line, we can rule it out.

Answer 2 is also a horizontal line that crosses the y-axis at (0, 4). Since it is a horizontal line, we can rule it out.

Answer 3 is a vertical line that crosses the x-axis at (2,0). Since x = 2 and x = 4 are both vertical lines that do not intersect, they are parallel.

Answer 4 is a diagonal line that crosses through points in the first and third quadrant such as (1, 1) and (-2, -2). Since this is not a vertical line, we can rule this out as well.

The answer is 3) x = 2.