I need word problems about a pair of straight lines

Click For Summary
SUMMARY

This discussion focuses on understanding the real-time applications of pair of straight lines, particularly in relation to their slopes and intersection properties. The key takeaway is that two lines with the same slope, represented by the equation y = mx, are parallel and will not intersect. Conversely, lines with different slopes can intersect at a finite point. The conversation emphasizes the importance of recognizing these concepts in practical scenarios, suggesting that algebra textbooks and online resources provide numerous examples of linear equations in real-life applications.

PREREQUISITES
  • Understanding of linear equations, specifically y = mx + b
  • Knowledge of slope calculation and its significance
  • Familiarity with the concept of parallel and intersecting lines
  • Basic algebra skills for solving word problems involving linear equations
NEXT STEPS
  • Research real-life applications of linear equations in fields such as economics and physics
  • Explore examples of word problems involving slope and intersection of lines
  • Study the graphical representation of linear equations and their intersections
  • Investigate online resources or textbooks that focus on applied mathematics problems
USEFUL FOR

Students, educators, and anyone interested in applying algebraic concepts to real-world scenarios, particularly in mathematics and engineering fields.

pairofstrings
Messages
411
Reaction score
7
TL;DR
I can find whether the given pair of straight lines are in parallel or is intersecting.
I am comfortable with word problems on straight lines.
Hello,

I want to see word problems on pair of straight lines to know the real-time applications.
I want to find out what it means if a straight line intersects/is parallel to other straight line.

Thanks!
 
Mathematics news on Phys.org
Do you know how to determine that slope of a straight line? Could two lines with the same slope intersect? Could two lines with different slopes NOT intersect?
 
Hi,
phinds said:
Do you know how to determine that slope of a straight line?
phinds said:
I know how to find slope of a straight line that looks like this: y = mx.
Could two lines with the same slope intersect?
No. They will extend till infinity - parallely.
phinds said:
Could two lines with different slopes NOT intersect?
Yes, they can intersect somewhere when I can extend the line till infinity.

If I have two lines given like this:
Untitled.png

then what real-time problem I can solve with it?
 
pairofstrings said:
then what real-time problem I can solve with it?
You are basically asking, "when will I use this?".
The answer is found only in too many possible applications, and depends on what you find when you find them. Otherwise, check the examples of application problems in your textbook.

y=mx+b, z=Mx+c
If m=M, and if you would plot y and z on the same vertical axis, these lines will be parallel and would not intersect.
 
phinds said:
Could two lines with different slopes NOT intersect?
pairofstrings said:
Yes, they can intersect somewhere when I can extend the line till infinity.
It's not possible to "extend the line till infinity" in any practical sense.
pairofstrings said:
If I have two lines given like this:
View attachment 246899
then what real-time problem I can solve with it?
If all you are given is an image of two line segments, there's not much you can do. If the slopes of the lines are just slightly different, they will intersect somewhere (at some finite point).

You asked about "real-time" problems, but you probably mean "real-life" problems. Just about any algebra textbook will have lots of applications of linear equations, as would numerous web sites, using a search string of, say, "linear equations applied problems".

Thread closed.
 

Similar threads

Undergrad Why a is not equal to zero in this pair of straight line equations?
  • · Replies 2 ·
Replies
2
Views
2K
High School How Many Straight Lines to Connect an N by M Array of Points in a Closed Loop?
  • · Replies 25 ·
Replies
25
Views
3K
High School Cartesian Space vs. Euclidean Space
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad What Lobachevski meant by parallel lines
  • · Replies 5 ·
Replies
5
Views
3K
MHB Quadratic Equation Help: Find 3 Points to Determine Answer
  • · Replies 6 ·
Replies
6
Views
2K
High School A triangle problem: Prove that |AC|+|AB|=|PR|+|PQ| given some constraints
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad Sun shade on Earth ground, is it a straight line or a curved line?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Confusion about line pairs per millimeter
  • · Replies 4 ·
Replies
4
Views
2K
High School Before understanding theorems in elementary Euclidean plane geometry
  • · Replies 12 ·
Replies
12
Views
2K
High School Counting intersections of lines in a triangle
  • · Replies 30 ·
2
Replies
30
Views
6K