1. Lesson 6.1 a – 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

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3. Introduction Slope - Intercept form 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.

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

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?

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?

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?

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

21. Example 7 Write the equation of this line.

22. Example 7

24. Example 8 Write the equation of this line.

25. 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).