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Graphs of Linear Equations in Two Variables
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Linear Equations in x and y

Example 3

Graph the equation 2x=−11 on a coordinate plane



Solution

The equation 2x=−11 can be written as x+0y=− 11 2 . Any ordered pair in the form ( − 11 2 ,  k ), where k is any real number, satisfies the equation. Thus, the graph of the given equation is a vertical line with − 11 2 or −5.5 as its x-intercept. See the figure below.