Question

What does the set of points whose $y$-coordinate is $3$ represent?

• A. Vertical line passes through $(3,0)$, i.e., $x=3$
• B. Vertical line passes through $(-3,0)$, i.e., $x=-3$
• C. Horizontal line passes through $(0,3)$, i.e., $y=3$
• D. Horizontal line passes through $(0,-3)$, i.e., $y=-3$

Answer 1

The correct option is C Horizontal line passes through $(0,3)$, i.e., $y=3$

The set of points with $y$-coordinate as $3$ can be represented as $(x,3)$, where the values of $x$ can be anything.

The points with $y$-coordinate as $3$ lie on the horizontal line (parallel to $x$-axis) $y=3$, which passes through the point $(0,3)$.