This document presents information about straight lines. It begins with an introduction to straight lines, defining them as lines with no curves that extend infinitely in both directions. It then discusses the Cartesian coordinate system and how points on a plane are located using x and y coordinates. Various applications of straight lines in areas like roads, physics, and data analysis are provided. Key concepts covered include properties of straight lines, parallel lines, and the relationship between slope and the angle of a line.

1. STRAIGHT
LINES
PRESENTED TO – MIN RAJ LAMICHHANE SIR.
BASIC MATHEMATICS
XI(MANAGEMENT)

2. AGENDA
Introduction​
Cartesian coordinate system
​Rectangular coordinate system
Applications in real life.

3. MEET OUR TEAM
- PRATIK BHATTARAI
- SUMIT SHRESTHA
- BIGYAN TRIPATHI
- NISHESH POKHREL
- AADARSH THAPA
- ALOK DAS

4. INTRODUCTION
A straight line is just a line with no curves. So, a line that extends to both sides
to infinity and has no curves is called a straight line.
4
Or,
The shortest distance between two points. Y
Y’
X’ X
a
b

5. Who invented straight line?
 Euclid.
Euclid was an ancient
Greek mathematician active as a geometer and
logician .He is considered the "father of
geometry”

6. CARTESIAN COORDINATE SYSTEM
X’ X
Y’
Y
o
a
b
P( x ,y )
y (ordinate)
x (abscissa)
A point in two-dimensional plane
is written as P(x , y).
x is called the abscissa and y is
called the ordinate.
X is the distance of point p from Y
axis.
Y is the distance of point p from X
axis.

7. Presentation title René Descartes was a
French philosopher,
scientist, and
mathematician who
invented cartesian
coordinate system.

8. Two mutually
perpendicular lines
intersect each other
and divide the plane
into four parts.
Each part is called
Quadrant
The intersecting
point, is known as
the origin.
The lines are called
rectangular axis.
RECTANGULAR COORDINATE

9. PROPERTIES OF
STRAIGHT LINE
Straight lines have the following qualities :-
 The length of a straight line is endless. We will never be
able to calculate the distance between the line’s two
extreme points
 There are no areas and no volume in a straight line.
However, it has an infinite length
 A one-dimensional figure is a straight line
 A single point can have an endless number of lines
passing through it, but only one line travels through two
points.
9

10. APPLICATIONS
IN REAL LIFE
Light travels in
straight line.

11. Roads, Railway Tracks
and Bridges are
constructed based on
parallel lines.

12. Use of Slopes in Physics
While plotting graphs of motion, the graph of position vs time
results in a straight line. The slope gives the velocity.
Depending on the value of the slope, an object can be at rest
or can have constant velocity.

13. Additional Applications
 Future contract markets and opportunities can be
described through straight line graphs.
 Straight line graph used in medicine and pharmacy to
figure out the accurate strength of drugs.
 Straight line graphs are used in the research process and
the preparation of the government budget.
 Straight line graphs are used in Chemistry and Biology.
 Straight line graphs are used to estimate whether our
body weight is appropriate according to our height.

14. Frequently Asked Questions
• What Do Parallel Straight Lines Mean?
Ans. If two lines are in the same plane but never meet, they are said to be
parallel lines. The angle between parallel lines is either 0 degrees or 180
degrees. They are pointing in the same direction as one another. If we have
two parallel lines and know the slope of one, we may equate the slope of the
second line to the slope of the first and get the slope of the other line.
• What is the straight line condition?
Ans. A line is just a geometric entity with zero width that extends on both
sides. A straight line is one that has no bends. A straight line is a line that
stretches to infinity on both sides and has no bends.
• What is the angle formed by two perpendicular straight lines?
Ans. The two perpendicular lines meet at a 90-degree angle. The slopes of
the two perpendicular lines are lined in such a way that the product of their
slopes equals -1. Perpendicular lines can be found in many places, such as
the corners of tables and rooms, and we can measure the angle between the
sides to determine that the angle between the perpendicular lines is 90
degrees.

15. Conclusion
The length of a straight line is endless. We will never be able
to calculate the distance between the line’s two extreme
points.There are no areas and no volume in a straight line.
However, it has an infinite length.A one-dimensional figure is
a straight line.A single point can have an endless number of
lines passing through it, but only one line travels through two
points.A linear equation is a straight line equation. Based on
known variables, angles, and constants, a straight line on a
cartesian plane can have various representations. The slope
of a straight line dictates the line’s direction and indicates
how steep it is.A straight line with slope m = tanθ and y-
intercept b is given by: y = mx + b, where m is the slope and
θ is the angle formed by the line with the positive x-
axis.Three non-collinear points cannot be crossed by a
straight line.

16. THANK YOU
CLASS 11
MANAGEMENT
BASIC MATHEMATICS