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Lesson 6.1a – Writing the Equation of a Line

Lesson 6.1a – Writing the Equation of a Line. Concept: Writing Equations of Lines EQ: How do we write the equation of a line? (G.GPE.5) Vocabulary: Slope, y-intercept, point-slope formula. Rise Up Run Out. http://www.youtube.com/watch?v=rBAGAdySKSQ. Introduction.

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Lesson 6.1a – Writing the Equation of a Line

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  1. Lesson 6.1a – Writing the Equation of a Line Concept: Writing Equations of Lines EQ: How do we write the equation of a line? (G.GPE.5) Vocabulary: Slope, y-intercept, point-slope formula

  2. Rise Up Run Out http://www.youtube.com/watch?v=rBAGAdySKSQ

  3. Introduction Slope-Interceptform of an equation of a line is: Y = mx + b “m” represents the slope. “b” represents the y-intercept. You will use this form when you are given the slope and the y-intercept.

  4. Slope – how steep a straight line is. = • Y-intercept – where the line crosses the y axis. Where x=0

  5. Point-Slope Form of an equation of a line is: y = m(x – x1) + Where () is your given point and m is the given slope. Remember to distributeandsimplify!

  6. Example 1 Write the equation of a line with a slope of 3 that crosses the y axis at (0, 2). Do we use Slope-Intercept or Point-Slope? How do you know?

  7. Slope = m = ________ Y-intercept = b = ____________ Final equation of the line: _________________________

  8. Example 2 Write the equation of a line with a slope of -2 that passes through the point (0,5). Do we use Slope-Intercept or Point-Slope? How do you know?

  9. Slope = m = ________ Y-intercept = b = ____________ Final equation of the line: _________________________

  10. You Try 1 You Try 2 Write the equation of a line with a slope of 5 that passes through the point (0, 3). Write the equation of a line with a slope of 3that passes through the point (0,6).

  11. Example 3 Write the equation of a line that passes through points (2, 4) and (4, 6). Do we use Slope-Intercept or Point-Slope? How do you know?

  12. Slope = m = = = = 1 Point (): (2, 4)

  13. Example 4 Write the equation of a line that passes through points (3, 5) and (6, 11). Do we use Slope-Intercept or Point-Slope? How do you know?

  14. Slope = m = = = = 2 Point (): (3, 5)

  15. Example 5 Write the equation of a line that passes through points (2, 6) and (3, 10). Do we use Slope-Intercept or Point-Slope? How do you know?

  16. Slope = m = = = = 4 Point (): (2, 6)

  17. You Try 3 Write the equation for a line that passes through the points (2, 2) and (4, 5).

  18. Example 6 Write the equation of this line.

  19. Example 6 Y-intercept: (0, 4) b = 4 Slope = m = = = =2

  20. Example 6

  21. Example 7 Write the equation of this line.

  22. Example 7 Y-intercept: (0, 3) b = 3 Slope = m = = = =2

  23. Example 7

  24. Example 8 Write the equation of this line.

  25. Example 8 Y-intercept: (0, 6) b = 6 Slope = m = = = =-1

  26. Example 8

  27. You Try 4! Write the equation for this line.

  28. Ticket Out The Door 1. Write the equation of a line that passes through: (1, 5) and (6, 0) 2. Write the equation of a line with a slope of 3 that crosses the y-axis at (0, 3).

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