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The graph of a linear equation, Ax + By = C, where A and B are not both 0, is a straight line.
• If A = 0, then the graph is a horizontal line.
For example, y = 3 is a horizontal line. On this line, the y-coordinate is always 3.
• If B = 0, then the graph is a vertical line.
For example, x = 5 is a vertical line. On this line, the x-coordinate is always 5.
Example 1
Graph the following linear equations:
a. y = 4
b. x = 4
Solution
The y-intercept is (0, 4); the line has no x-intercept.
On this line, the x-coordinate is always 4.
The x-intercept is (4, 0); the line has no y-intercept.
