Which equation represents a vertical line lying to the LEFT of the $y$ -axis?

Class 9Linear Equations in Two VariablesLinear Equations

Step-by-Step Solution

A vertical line is

x

= constant; 'left of the

y

-axis' means a negative constant, so

x = - 3. (y = 0

is the

x

-axis,

x = 0

is the

y

-axis,

y = 5

is horizontal.)

Answer: D)

x = - 3

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.

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