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Chapter 4: Q. 385 (page 523)

Why are all horizontal lines parallel?

Short Answer

Expert verified

All horizontal lines are parallel because the slope is always 0.

Step by step solution

01

Given information

Since the slope is given by the ratio ChangeinyChangeinx, and for horizontal lines the change in y is always 0.

02

Explain the slope of the horizontal line.

By definition, the slope of all horizontal lines is 0 .

Lines are parallel lines lines if the lines have the same slope.

Therefore, all horizontal lines are parallel given that the slope is always 0 .

03

Write the conclusion

The slope of the horizontal line is0.

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Most popular questions from this chapter

In the following exercises, complete the table to find solutions to each linear equation.

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