Which point does NOT lie on the line $x = - 6$ ?

Class 9Linear Equations in Two VariablesLinear Equations

Step-by-Step Solution

Every point on

x = - 6

has abscissa −6, whatever its ordinate. (6, −6) has

x = 6

, so it sits on the opposite side of the

y

-axis and is not on the line.

Answer: D) (6, −6)

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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