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STRAIGHT LINE
THE RELATIONSHIP BETWEEN THE ANGLE OF INCLINATION
AND SLOPE
EQUATION OF A STRAIGHT LINE
• LINEAER EQUATION IS WRITTEN AS:
• ax + by + c =0
• Where a and b are not both equal to zero
• Some important data on line are points, slope and
intercepts
THE ANGLE OF INCLINATION
• Inclination of a line is the angle between the line and the
positive direction of x−axis. Value of this angle is between
0o and 180o. It is measured in anti-clockwise direction
from the positive direction of x−axis.
•
POSITIVE AND NEGATIVE INCLINATION
SLOPE
• tan θ = Δy/Δx
• The slope of a straight line between two points
says (x1,y1) and (x2,y2) can be easily determined
by finding the difference between the coordinates
of the points. The slope is usually represented by
the letter 'm'.
ACTIVITY
•I am a number you get when you
add the sides of a rectangle and a
square.
•
ANSWER
• 8
POSITIVE SLOPE
• A positive slope means that two variables are
positively related—that is, when x increases, so
does y, and when x decreases, y decreases also.
Graphically, a positive slope means that as a line
on the line graph moves from left to right, the line
rises.
NEGATIVE SLOPE
•A line with a negative slope is a line that
is negative vtrending downward from left
to right. In other words, the line's rise to
run ratio is a alue.
DIFFERENCES
FOUR TYPES OF SLOPE
Two dimensional analytical geometry 11.pptx

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Two dimensional analytical geometry 11.pptx

  • 1. STRAIGHT LINE THE RELATIONSHIP BETWEEN THE ANGLE OF INCLINATION AND SLOPE
  • 2. EQUATION OF A STRAIGHT LINE • LINEAER EQUATION IS WRITTEN AS: • ax + by + c =0 • Where a and b are not both equal to zero • Some important data on line are points, slope and intercepts
  • 3. THE ANGLE OF INCLINATION • Inclination of a line is the angle between the line and the positive direction of x−axis. Value of this angle is between 0o and 180o. It is measured in anti-clockwise direction from the positive direction of x−axis. •
  • 4. POSITIVE AND NEGATIVE INCLINATION
  • 5. SLOPE • tan θ = Δy/Δx • The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.
  • 6. ACTIVITY •I am a number you get when you add the sides of a rectangle and a square. •
  • 8. POSITIVE SLOPE • A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
  • 9. NEGATIVE SLOPE •A line with a negative slope is a line that is negative vtrending downward from left to right. In other words, the line's rise to run ratio is a alue.
  • 11. FOUR TYPES OF SLOPE