Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Pc 10.1 notes_tangents

1,576 views

Published on

Finding the inclination of a line and also the angle between two lines

Published in: Education
  • Be the first to comment

  • Be the first to like this

Pc 10.1 notes_tangents

  1. 1. 10.1 Tangent Lines Objective: 1) Find the angle of inclination and slope of a line. 2) Find the angle between 2 lines. Standard: Trigonometry 7.0
  2. 2. Warm-up:1) Find the slope of the line containing thetwo points (–4, 1) and (3, 6).2) What is the angle this line makes withthe x-axis?
  3. 3. Inclination and SlopeInclination:· The ___________ _________ less than ___measured _________________ from the x-axis to the line.Slope:· If a non-vertical line has an inclinationof θ and a slope of m, then…
  4. 4. Ex. 1) Find the inclination.Find the angle of inclination of the linegiven by 5x–7y+3=0.
  5. 5. Ex. 1b) Find the inclination of 3x+4y=7.
  6. 6. What about the anglebetween 2 lines?
  7. 7. Angles between lines: (Where m1 and m2 are the slopes of two non-perpendicular lines)
  8. 8. Ex. 2) Find the angle between the twofollowing lines.2x + y = 4x–y=2
  9. 9. Ex. 3) Application:A straight road rises with the inclination of0.20 radians from the horizontal. Find theslope of the road and the change inelevation of a 2-mile stretch of the road.
  10. 10. Percent Road Grade
  11. 11. Ex. 4) Find the equation of the line with aninclination of 120° and through the point(-3, 5).
  12. 12. Assignment:#5 p. 732#9-31 (odd),51, 53, 56

×