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Tangent and Secant Lines: Finding Slope and Equation

Learn how to find the slope and equation of tangent and secant lines, and understand the difference between them. Explore examples and discover the methods to solve these problems.

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Tangent and Secant Lines: Finding Slope and Equation

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  1. Chapter 2

  2. Sec 2.1:The Tangent Problem (Example 1) (x1, y1) (x2, y2) Slope and Equation of a line How to find the slop of a line? How to find the equation of a line?

  3. Sec 2.1:The Tangent Problem (Example 1) Tangent line Secant line What is the difference ?? Lines?? a line joining two points of a curve is a secant to the curve. The wordtangentis derived from the Latin word tangens, which means “touching.” slope of a curve at a pointP on the curve? the slope of the tangent at P.

  4. Sec 2.1:The Tangent Problem (Example 1) Is it possible that a line could be tangent and secant in the same time

  5. Sec 2.1:The Tangent Problem (Example 1) Secant line and Tangent line Tangent line How to find the slope of these lines ??

  6. Sec 2.1:The Tangent Problem (Example 1) Secant line and Tangent line

  7. Sec 2.1:The Tangent Problem (Example 1) Secant line and Tangent line

  8. Sec 2.1:The Tangent Problem (Example 1) Secant line and Tangent line

  9. Sec 2.1:The Tangent Problem (Example 1) Secant line and Tangent line

  10. Sec 2.1:The Tangent Problem (Example 1) Secant line and Tangent line

  11. Sec 2.1:The Tangent Problem (Example 1) Example : Find the slope of the tangent line to the prabola at the point tangent line 2.25 Q 1.44 1 1 1.2 1.25

  12. Sec 2.1:The Tangent Problem (Example 1) Example : Find the slope of the tangent line to the prabola at the point tangent line 2.25 Q 1.44 1 1 1.2 1.25

  13. Sec 2.1:The Tangent Problem (Example 1) Example : Find the slope of the tangent line to the prabola at the point

  14. Sec 2.1:The Tangent Problem (Example 1) Example : Find the slope of the tangent line to the prabola at the point X^2 1 1 x

  15. Sec 2.1:The Tangent Problem (Example 1) secant line 2 3 1.5 2.5 2.1 1.1 1.01 2.01 1.001 2.001 1.0 2.0 tangent line Slope of the tangent line = 2.0

  16. Sec 2.1:The Tangent Problem (Example 1) secant line 1.0 2.0 tangent line

  17. Sec 2.1:The Tangent Problem (Example 1) means as

  18. Sec 2.1:The Tangent Problem (Example 1) Example : Find the equation of the tangent line to the prabola at the point Equation of the tangent line Slope = 2.0 point = (1, 1)

  19. Sec 2.1:The Tangent Problem (Example 1) EXAM-1 TERM-081 EXAM-1 TERM-141 EXAM-1 TERM-132

  20. Sec 2.1:The Tangent Problem (Example 1) EXAM-1 TERM-081 EXAM-1 TERM-141 EXAM-1 TERM-132

  21. Sec 2.1:The Tangent Problem (Example 1)

  22. Sec 2.1:The Tangent Problem (Example 1)

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