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Chapter 12 Graphing 12-5 Defining Horizontal and Vertical Lines Definition - A horizontal line is a straight line that lies parallel to the x axis on the coordinate plane. If the coordinate plane is set up in the customary fashion, horizontal lines on the plane run straight left and right.
- A vertical line is a straight line that lies parallel to the y axis on the coordinate plan. If the coordinate plane is set up in the customary fashion, vertical lines on the plane run straight up and down.
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| | The linear equation for a vertical line has the form x = a, where a is any real number. Procedure Make up at least two values for a Example | Problem: Plot the line given by x = 2 Procedure: Step 1. Make up at least two values for y, +5 and -5, for example. Step 2. Establish the two points: (2, 5) and (2, -5) Notice that the x term is always equal to 2. That is given in the problem. The y values are the two that we simply made up on our own, +5 and -5. Step 3. Plot the line through those two points. No matter what value we choose for y, x will always be equal to 2 for this particular problem. | Solution: 
| The linear equation for a vertical line has the form y = b, where b is any real number. Example | Problem: Plot the line given by y = -3 Procedure: Step 1. Make up at least two values for x, -3 and 5, for example. Step 2. Establish the two points: (-3, -3 ) and (5, -3) Notice that the y term is always equal to -3. That is given in the problem. The x values are the two that we simply made up on our own, -3 and 5. Step 3. Plot the line through those two points. No matter what value we choose for x, y will always be equal to -3. | Solution: 
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Exercises  You can click here to download and print a worksheet for these exercises. - Plot the horizontal and vertical lines given by the values assigned to y and x.
- Click the Ans button to see the solution.
| 1. x = 3 Ans | 2. y = -4 Ans | | | 3. x = 0 Ans | 4. y = 0 Ans | | 5. x = -1 Ans | |
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