Question

Suppose we are given the following. Line 1 passes through (0, 4) and (-3, 8). Line 2 passes through (-4, -2) and (4, 4). Line 3 passes through (4, 1) and (8, 4). (a) Find the slope of each line. Slope of Line 1= Slope of Line 2 = Slope of Line 3 = (b) For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: \text{Parallel} \quad \text{Perpendicular} \quad \text{Neither} Line 1 and Line 3: \text{Parallel} \quad \text{Perpendicular} \quad \text{Neither} Line 2 and Line 3: \text{Parallel} \quad \text{Perpendicular} \quad \text{Neither}

          Suppose we are given the following.
Line 1 passes through (0, 4) and (-3, 8).
Line 2 passes through (-4, -2) and (4, 4).
Line 3 passes through (4, 1) and (8, 4).
(a) Find the slope of each line.
Slope of Line 1= 
Slope of Line 2 = 
Slope of Line 3 = 
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: \text{Parallel} \quad \text{Perpendicular} \quad \text{Neither}
Line 1 and Line 3: \text{Parallel} \quad \text{Perpendicular} \quad \text{Neither}
Line 2 and Line 3: \text{Parallel} \quad \text{Perpendicular} \quad \text{Neither}
        
Show more…
Suppose we are given the following.
Line 1 passes through (0, 4) and (-3, 8).
Line 2 passes through (-4, -2) and (4, 4).
Line 3 passes through (4, 1) and (8, 4).
(a) Find the slope of each line.
Slope of Line 1= 
Slope of Line 2 = 
Slope of Line 3 = 
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: Parallel   Perpendicular   Neither
Line 1 and Line 3: Parallel   Perpendicular   Neither
Line 2 and Line 3: Parallel   Perpendicular   Neither

Added by Amy H.

Close

Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Suppose we are given the following. Line 1 passes through (0,4) and (-3,8). Line 2 passes through (-4,-2) and (4,4). Line 3 passes through (4,1) and (8,4). (a) Find the slope of each line. Slope of Line 1= Slope of Line 2= Slope of Line 3= (b) For each pair of lines, determine whether they are parallel, perpendicular, or neither. [Line 1 and Line 2]: [Line 1 and Line 3]: [Line 2 and Line 3]:
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Ivan Kochetkov
Jennifer Stoner verified

Kathleen Carty and 60 other subject Precalculus educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
suppose-we-are-given-the-following-line-passes-through-3-2-and-6-5-line-2-passes-through-3-0-and-63-line-3-passes-through-35-and-33-find-the-slope-of-each-line-slope-of-line-slope-of-line-2-30354

Suppose we are given the following: Line 1 passes through (-3, -2) and (6, -5). Line 2 passes through (3, 0) and (-6, 3). Line 3 passes through (-3, 5) and (3, 3). Find the slope of each line. Slope of Line 1 Slope of Line 2 Slope of Line 3 (b) For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Line 1 and Line 3: Line 2 and Line 3:

Kathleen C.

find-the-slope-of-the-line-that-passes-through-each-pair-of-points_-and-indicate-if-the-line-is-increasing-decreasing-horizontal-or-vertical-then-find-the-equation-of-the-line-and-write-your-48409

Find the slope of the line that passes through each pair of points, and indicate if the line is increasing, decreasing, horizontal or vertical. Then find the equation of the line and write your answer in general form. (a) (-2,3) and (0, -2) (b) (-3, -2) and (3, 6) 2. Are the line through (4, -3) and (-1, -5) and the line with equation 5x + 2y - 6 = 0 parallel or perpendicular? Justify your answer. 3. Given the line 3x - 4y - 12 = 0. (a) Find the equation of a line parallel to the given line and passes through the point (2, 3). (b) Find the equation of a line perpendicular to the given line and passes through the point (2, -3). (c) Graph all three lines in the same set of coordinate axes and label properly. 4. Solve each equation, and check your answers. (a) 2/3x + 1/2(x - 3) = (x + 1)/4 (b) (5 - 3y)/5 + (2y + 7)/9 = 1 - (y - 1)/3 (c) 2(2x + 1)/15 - 7(1 - x)/12 = (x + 7)/20 - 5(1 - x)/6 5. Solve each inequality, giving the solution both in interval and in number line notation. (a) 3x + 5 <= 2x + 1 <= 5x + 7 (b) x + 10 > 5x + 6 > x - 10 6. [Bonus] Find an equation of the perpendicular bisector of the line segment joining the points A(1, -4) and B(7, -2). Write your answer in general form.

Yujie W.

determine-of-which-lines-if-any-are-parallel-or-perpendicular-explain-line-passes-through-2-1-ad-0-3-line-b-passes-through-1-and-6-4-line-passes-through-1-3-and-4-1-are-parallel-the-slopes-a-82166

Determine of which lines, if any, are parallel or perpendicular. Explain. Line a passes through (-2, 1) and (0, 3). Line b passes through (4, 1) and (6, 4). Line c passes through (1, 3) and (4, 1). are parallel. The slopes are the same perpendicular to reciprocals negative reciprocals all different

Sydney B.


*

Recommended Textbooks

-
Precalculus with Limits

Precalculus with Limits

Ron Larson 2nd Edition
achievement 1,961 solutions
Precalculus

Precalculus

Robert Blitzer 5th Edition
achievement 1,022 solutions
Precalculus

Precalculus

Jay Abramson 1st Edition
achievement 1,453 solutions

*

Transcript

-
00:01 So line 1 passes through the points negative 3, negative 2, and 6 negative 5.
00:10 I can find the slope of that line by finding the change in the ys over the change in the axis.
00:22 Negative 5 then plus 2 over 6 plus 3.
00:27 That gives me negative 3 over 9, which is negative 1 3rd.
00:35 So the slope of line 1 is negative 1 3rd.
00:40 Line 2 passes through 3 0 and negative 6 .3.
00:47 Line 2 slope is 3 minus 0 over negative 6 minus 3.
00:55 That gives me 3 over negative 9, which is negative 1 3.
01:04 Lastly, we have line 3, negative 3, 5, and 3 -3.
01:13 That slope is 3 minus 5 over 3 minus negative 3.
01:24 That gives me negative 2 over 3 plus 3.
01:31 Or negative 2 over 6, which is negative 1 3rd...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever