1. OBJECTIVES: TO WRITE LINEAR EQUATIONS USING SLOPE- INTERCEPT FORM TO GRAPH LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM CHAPTER 6 SLOPE-INTERCEPT FORM

2. WARM UP Find the slope 1.) (2, -3), (5, 6) Find the missing value 2.) (8, r), (3, -10) m = 3 m = 3

3. LINEAR EQUATION: An equation that models a linear function. In a linear equation, the variables cannot be raised to a power other than 1. The graph of a linear equation contains all of the ordered pairs that are solutions of the equations.

4. Y-INTERCEPT: The y-coordinate of a point where the graph crosses the y-axis Graphs of linear functions may cross the y-axis at any point

6. PROBLEM # 1: IDENTIFYING SLOPE AND Y-INTERCEPT A)What are the slope and y- intercept of the graph of y = 5x – 2? y = 5x – 2?

7. PROBLEM # 1: IDENTIFYING SLOPE AND Y-INTERCEPT

8. PROBLEM #1 GOT IT? What are the slope and y-intercept of the graph of y = 3x – 6?

9. PROBLEM # 2: WRITING AN EQUATION IN SLOPE-INTERCEPT FORM

11. PROBLEM #2 GOT IT? What is an equation of the line with slope 5 and y- intercept 8?

12. PROBLEM # 3: WRITING AN EQUATION FROM A GRAPH A )What equation represents the line shown?

13. PROBLEM # 3: WRITING AN EQUATION FROM A GRAPH B)What do you expect the slope of the line to be from looking at the graph? C)What is an equation of the line shown to the right? D) Does the equation of the line depend on the points you use to find the slope?

14. PROBLEM # 3 GOT IT? Which equation represents the line shown?

15. PROBLEM # 4: WRITING AN EQUATION FROM TWO POINTS A)What equation in slope-intercept form represents the line that passes through the points (2, 1) and (5, -8)?

16. PROBLEM # 4: WRITING AN EQUATION FROM TWO POINTS B)What equation in slope-intercept form represents the line that passes through the points (3, -2) and (1, - 3)?

17. PROBLEM # 4 GOT IT? What equation in slope-intercept form represents the line that passes through the points (1, -6) and (-3, 10)?

18. PROBLEM # 5: GRAPHING A LINEAR EQUATION A) What is the graph of y = 2x – 1?

19. PROBLEM # 5: GRAPHING A LINEAR EQUATION B) What is the graph of y = -3x + 4?

20. PROBLEM # 5 GOT IT?

21. HOMEWORK Graphing Linear Equations Worksheet