This is actually a demonstration of the straight lines. This would be really helpful for the students of 11th standard. Though my presentation may not be fully clear, it definitely covers the main concepts associated with this topic. So students, I would be happy if this can be of any help to you all....thank you so much😊😊

1. Straight Lines
Name – Aradhya Mukherjee
Student Code – BWU/BAG/23/063
Programme Name — B.Sc(H) in Agriculture
Course Name – Elementary Mathematics
Course Code – RC-BAG102

2. CONTENTS :
• Introduction
• Equation of a straight line
• Slope-intercept form
• Point-slope form
• Two- point form
• Distance formula
• Intercept form
• Angle between two lines
• Slope for two parallel lines
• Slope for two perpendicular lines
• Perpendicular Distance between two straight lines

3. INTRODUCTION
• A line that extends to both sides to infinity and has no curves is called a strai
line.
In the classrooms, straight lines are drawn on the
floor, the entrance, the window, and the zebra
crossing on the roadside.

4. EQUATIONS OF A STRAIGHT LINE
• The general equation of a straight line is given below:
• ax + by + c = 0
• Where x and y are variables, a, b, and c are constants.

5. SLOPE–INTERCEPT FORM
• The equation of a straight line in slope-intercept form is given
by:
• y = mx + c
• Here, m denotes the slope of the line, and c is the y-intercept.

6. POINT – SLOPE FORM
• The point slope form formula of equation of a straight line is given by:
• y – y1 = m(x – x1)
• Here,
• m = Slope of the line
• (x1, y1) = Point through which the given line passes

7. TWO – POINT FORM
• Let the given points be A (x1, y1), B (x,2, y2) and P
(x, y) be any point on the straight line joining the
points A and B.
Then the formula is given by:
• (y-y1)={(y2-y1)/(x2-x1)}(x-x1)

8. DISTANCE FORMULA
• Distance between two points is the length
of the line segment that connects the two
points in a plane. The formula to find the
distance between the two points is usually
given by d=√((x2 – x1)² + (y2 – y1)²). This
formula is used to find the distance
between any two points on a coordinate
plane or x-y plane.

9. INTERCEPT FORM
• The intercept form of the equation of a
line has an equation x/a + y/b = 1,
where 'a' is the x-intercept, and 'b' is the
y-intercept.

10. ANGLE BETWEEN TWO STRAIGHT LINES
• If θ is the angle between two intersecting lines defined by y1=
m1x1+c1 and y2= m2x2+c2, then, the angle θ is given by
• tanθ=±(m2-m1) / (1+m1m2)

11. SLOPE FOR TWO PARALLEL LINES
• The slope of parallel lines is always
equal. Parallel lines have the same
slope because their rise over run
ratio is equal. They make an equal
angle with the positive x-axis.
• If we have two slope m1 and m2 for
two parallel lines 1 and 2, then m1 =
m2.

12. SLOPE FOR TWO PERPENDICULAR LINES
• Slope of perpendicular lines are
such that the slope of one line
is the negative reciprocal of the
slope of another line. If the
slopes of the two
perpendicular lines are m1, m2,
then we can represent the
relationship between the slope
of perpendicular lines with the
formula m1.m2 = -1.

13. PERPENDICULAR DISTANCE BETWEEN STRAIGHT
LINES
• Two lines are parallel to each other if the distance
between them at any point remains the same.
The distance between two parallel lines is
calculated by the distance of point from a
line. It is equal to the length of the
perpendicular distance from any point to one
of the lines.
the distance between two lines is:
d =|Ax1 + By1 + C| / (A2 + B2)½.