Chapter 4: Q. 4.103 (page 514)

Use slopes and y-intercepts to determine if the lines $y = 8$ and $y = - 6$ 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:

$\begin{array}{rcl} y & = & 8 \\ y & = & - 6 \end{array}$

Step 2. Determine the slopes and y-intercepts.

The given equations can be written as:

$y = 0 x + 8 y = 0 x - 6$

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

For the first equation, the slope is $m = 0$ and $b = 8$ . It means the y-intercept is $(0, 8)$ .

For the second equation, the slope is $m = 0$ and $b = - 6$ . It means the y-intercept is $(0, - 6)$ .

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 $y = 8$ and $y = - 6$ 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=8 andy=−6 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

Probability and Statistics

Theoretical and Mathematical Physics

Pure Maths

Decision Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

Use slopes and y-intercepts to determine if the lines $y = 8$ and $y = - 6$ are parallel.