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Horizontal and Vertical Lines in Graphs Help

By — McGraw-Hill Professional
Updated on Sep 26, 2011

Horizontal and Vertical Lines

Vertical Lines

Any equation of the form x = a, where a is a real number, is the graph of a vertical line passing through the point (a, 0) on the x axis.

Example 1

Graph the line x = –5.

Solution 1

Draw a vertical line passing through the point (–5, 0) on the x axis (see Fig. 11-14 ).

Horizontal and Vertical Lines

Fig. 11-14.

Horizontal Lines

Any equation of the form y = b, where b is any real number, is the graph of a horizontal line passing through the point (0, b) on the y axis.

Example 2

Graph the line y = 4.

Solution 2

Draw a horizontal line through the point (0, 4) on the y axis (see Fig. 11-15 ).

Horizontal and Vertical Lines

Fig. 11-15.

Horizontal and Vertical Lines Practice Problems

Practice

Draw the graph of each of the following:

1. y = 6

2. x = –4

3. y = –2

4. x = 3

5. y = 2

Answers

1. See Fig. 11-16

2. See Fig. 11-17

3. See Fig. 11-18

4. See Fig. 11-19

5. See Fig. 11-20

Horizontal and Vertical Lines

Fig. 11-16.

Horizontal and Vertical Lines

Fig. 11-17.

Horizontal and Vertical Lines

Fig. 11-18.

Horizontal and Vertical Lines

Fig. 11-19.

Horizontal and Vertical Lines

Fig. 11-20.

Practice problems for these concepts can be found at: Graphing Practice Test.

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