Understand that a two-variable equation's graph is the set of all ordered-pair solutions.
Represent a vertical or horizontal solution set
Problem
For \(x=4\), identify fixed coordinate/value, unrestricted coordinate/domain, and line orientation.
Big Picture
What this problem is really about
An equation naming only one coordinate fixes that coordinate and leaves the missing one free. We’ll describe every solution as an ordered pair with the stated first coordinate and an arbitrary real second coordinate, then picture several such points together. Their shared horizontal position and varying vertical positions determine the line’s orientation without turning the solution set into a single point.
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