The pair of equations x=3 and y=−2 graphically represent lines which are :
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Step-by-Step Solution
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.