Which statement about the line $x = 3$ is correct?

Class 9Linear Equations in Two VariablesLinear Equations

Step-by-Step Solution

x = 3

is a vertical line; every point has

x

-coordinate 3, so it is parallel to the

y

-axis, located 3 units to the right.

Answer: A) It is parallel to the

y

-axis and 3 units to its right

Two special cases:

**

y

= constant**: a horizontal line (parallel to

x

-axis). Example:

y = 4

is the line of all points with ordinate 4. Every solution has

y = 4

regardless of

x . * * x

= constant**: a vertical line (parallel to

y

-axis). Example:

x = - 2

is the line of all points with abscissa −2.

Algebraically:

y = 4

0 x + y - 4 = 0

;

x = - 2

x + 0 y + 2 = 0

. They fit the standard form ax + by +

c = 0

with one of a, b being 0.

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