Question

Which of the following is the equation of the line parallel to y axis
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Answer 1

Answer:

What is the Equation of the Line Parallel to y-axis? The equation of the y-axis is given by x = 0. The equation of the line parallel to the y-axis is x = k, where 'k' is any real number.

Step-by-step explanation:

Substituting every value of 'x' given in the table, we see that the value of 'y' remains unchanged. For example, let us take the value of 'x = -4' and substitute in the equation, 0(x) + 1(y) + (-2) = 0.  

0(-4) + 1(y) - 2 = 0

0 + y - 2 = 0

Therefore, y = 2.

Let us take a positive value for 'x = 3' and solve the equation to find the value of 'y'.  

0(3) + 1 (y) - 2 = 0

0 + y - 2 = 0

y = 2.

Therefore, we can see that though the value of 'x' changes, the value of 'y' remains unchanged. Thus, all solutions of this linear equation are of the form (k,2), where k is some real number. The graph of the line 'y=2' is

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Answer 2

y=0

The equation of the y-axis is given by x = 0. The equation of the line parallel to the y-axis is x = k, where 'k' is any real number.

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