The points (2, 3), (2, −1) and (2, 5) all share the same $x$ -coordinate. What kind of line do they lie on?

Class 9Coordinate GeometryCoordinate Geometry

Step-by-Step Solution

Points with the same

x

-coordinate

(x = 2)

lie on a vertical line parallel to the

y

-axis.

Answer: A) A vertical line parallel to the

y

-axis

Given a point on a graph:
1. Drop a perpendicular to the

x

-axis. Where it hits is the

x

-coordinate.
2. Drop a perpendicular to the

y

-axis. Where it hits is the

y

-coordinate.
3. Combine:

(x, y)

.

Reverse if you're given coordinates: read

x

first (horizontal direction), then

y

(vertical direction). Don't swap their roles.

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