Which equation represents the line drawn parallel to the $x$ -axis, 4 units BELOW it?

Class 9Linear Equations in Two VariablesLinear Equations

Step-by-Step Solution

Parallel to the

x

-axis means

y

= constant, and below the axis means the constant is negative:

y = - 4. (x = - 4

is a vertical line 4 units to the LEFT, and

y = 4

lies above the axis.)

Answer: C)

y = - 4

x

-axis**: every point on the

x

-axis has

y = 0

. So the

x

-axis is the line **

y = 0 * * . * * y

-axis**: every point on the

y

-axis has

x = 0

. So the

y

-axis is the line **

x = 0

**.

These are special cases of 'lines parallel to the axes' — except they ARE the axes themselves.

Don't just memorise the answer — build a daily practice habit.