The pair of equations $x = 3$ and $y = - 2$ graphically represent lines which are :

Step 1: Understand the equations

We are given two equations: $x = 3$ and $y = -2$. We need to determine the relationship between the lines represented by these equations when plotted on a graph.

Step 2: Analyze the first equation

The equation $x = 3$ represents a vertical line. This line passes through all points where the $x$ -coordinate is 3, regardless of the $y$ -coordinate. It is parallel to the $y$ -axis.

Step 3: Analyze the second equation

The equation $y = -2$ represents a horizontal line. This line passes through all points where the $y$ -coordinate is -2, regardless of the $x$ -coordinate. It is parallel to the $x$ -axis.

Step 4: Determine the relationship

A vertical line and a horizontal line on a Cartesian plane are always perpendicular to each other. They intersect at a single point, which is $(3, -2)$ in this case.

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