Objective:

To graph horizontal and vertical lines.

Vocabulary:

Notes:

Examples:

1.   Sketch the graph of x = 3.
Ex 1 When we graph in a coordinate plane we have two variables, x and y. 

For the equation x = 3, x is ALWAYS 3.  It doesn't make any difference what y is, x can only be 3.

The equation, x = 3, doesn't tell us anything about y.  It doesn't restrict y at all, so y can be any number.

Plot a few points making each x-coordinate 3 and varying the y-coordinate.  Some examples are (3, −4), (3, −1), (3, 2), and (3, 5).

Draw a line with arrows through the points you plotted.  Make sure to label the line.

2.   Sketch the graph of y = −4.

Ex 2For the equation y = −4, y is ALWAYS −4. It doesn't make any difference what x is, y can only be −4.

The equation y = −4 doesn't tell us anything about x. It doesn't restrict x at all, so x can be any number.

Plot a few points with the y-coordinate always -4, and vary the x-coordinate. Some examples are (−4, −4), (−2, −4), (0, −4), and (3, −4).

Draw a line with arrows through the points you plotted. Make sure to label the line.

Hint:

Graphing these types of problems is easy if you remember the following:

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This page was last updated on 08/09/13.