Question

Which of the following equations represent a line parallel to x axis:
a) 3x+2y=0
b)3x+2=0
c)3x+2y=0
d)3x-2y=0

Answer 1

The correct answer is option (b) 3x+2 = 0.

• For a line to be parallel to the y-axis the slope of the line should be undefined(∞).
• In the first option, the equation of the line is 3x+2y=0, and its slope is -3/2, so it is not parallel to the y-axis.

• In the second option, the equation of the line is 3x+2 = 0, and its slope is -3/0 = ∞, So it is parallel to the y-axis.
• In the third and fourth options the equation of the line is 3x+2y = 0, and 3x-2y = 0, and their slopes are -3/2 and 3/2, so they are not parallel to the y-axis.

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Answer 2

Answer:

3y + 2 = 0

Step-by-step explanation:

To Find:- Line parallel to x-axis from the given equations.

Solution:-

As we know, a line parallel to the x-axis is of the form y = k.

∵ 3y + 2 = 0 can be written as y = $\frac{-2}{3}$

∴ 3y + 2 = 0 is parallel to x-axis.

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