A line consists of every point whose ordinate is 6. Which of these points is NOT on that line?

Class 9Linear Equations in Two VariablesLinear Equations

Step-by-Step Solution

Ordinate means the

y

-coordinate, so the line is

y = 6

— horizontal. (6, 0) has ordinate 0, so it lies on the

x

-axis instead. Note that (6, 6) and (6, 0) are different points: order matters.

Answer: C) (6, 0)

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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