Chapter 4: Q. 4.104 (page 514)

Use slopes and y-intercepts to determine if the lines $y = 1$ and $y = - 5$ are parallel.

Short Answer

Expert verified

The lines have the same slope and different y-intercepts and so they are parallel.

Step by step solution

Step 1. Given information.

The given equations are:
$y = 1 y = - 5$

Step 2. Determine the slopes and y-intercepts.

The given equations can be written as:

$y = 0 x + 1 y = 0 x - 5$

Compare these equations with $y = m x + b$ .

For the first equation, the slope is $m = 0$ and $b = 1$ . It means the y-intercept is $(0, 1)$ .

For the second equation, the slope is $m = 0$ and $b = - 5$ . It means the y-intercept is $(0, - 5)$ .

Step 3. Conclusion.

The lines have the same slope and different y-intercepts and so they are parallel.

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Use slopes and y-intercepts to determine if the lines $y = 1$ and $y = - 5$ are parallel.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the slopes and y-intercepts.

Step 3. Conclusion.

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Use slopes and y-intercepts to determine if the lines y=1and y=−5 are parallel.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the slopes and y-intercepts.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Calculus

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use slopes and y-intercepts to determine if the lines $y = 1$ and $y = - 5$ are parallel.