1. WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 5 Minutes Remain

2. WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 4 Minutes Remain

3. WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 3 Minutes Remain

4. WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 2 Minutes Remain

5. WARM UP Identify the slope and y-intercept of each equation. 1.y = -6x 2.y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 1 Minute Remains

6. WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 0

7. 4.7 Graphing Lines Using Slope- Intercept Form CLASS SCHEDULE UNTIL BREAK: 12/9 -12/12: Graphing Lines using Slope-Intercept Form 12/13: Quiz 12/16-12/17: Functions and Relations 12/18: Chapter 4 review 12/19: Chapter Four Test 12/20: Catch-up day or Christmas Graphs.

8. 4.7 Graphing Lines Using Slope- Intercept Form Today’s Schedule: Lesson 4.7 Powerpoint Lesson 4.7 Powerpoint In class assignment/homework In class assignment/homework Exit Slip Exit Slip GOAL: Graph a linear equation in slope-intercept form. KEY WORDS: slope, y-intercept, slope-intercept form, parallel lines.

9. 4.7 Graphing Lines Using Slope- Intercept Form SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept. y = mx + b slope y-intercept

10. 4.7 Graphing Lines Using Slope- Intercept Form Identify Parallel Lines EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6line b: -x + 2y = -2line c: x + 2y = 4 1 Rewrite each equation in slope-intercept form. Line a: y = ½x + 3line b: y = ½x - 1line c: y = -½x + 2

11. 4.7 Graphing Lines Using Slope- Intercept Form Identify Parallel Lines EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6line b: -x + 2y = -2line c: x + 2y = 4 2 Identify the slope of each equation. Line a: slope is ½ line b: slope is ½ line c: slope is - ½

12. 4.7 Graphing Lines Using Slope- Intercept Form Identify Parallel Lines EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6line b: -x + 2y = -2line c: x + 2y = 4 3 Compare the slopes. Lines a and b are parallel because each has a slope of ½. Line c is not parallel to either of the other two lines because it has a slope of - ½.

13. CHECK √ CHECK √ The graph gives you a visual check.

14. 4.7 Graphing Lines Using Slope- Intercept Form Practice: Are the following lines parallel? line a: 3x + 2y = 6line b: 6x +4y = 6 Sí, paralelo! Tu’ estas certificada! < arquitecto abogado >

15. PARALLEL LINES Determine whether the graphs of the two equations are parallel. Graph the lines and explain your answer. 1.Line a: y = -3x + 2Line b: y + 3x = -4 2.Line a: 2x – 12 = yLine b: y = 10 + 2x 3.Line a: y = x + 8Line b: x – y = -1 4.Line a: 2x – 5y = -3Line b: 5x + 2y = 6 5.Line a: y + 6x = 8Line b: 2y = 12x – 4 6.Line a: 3y – 4x = 3Line b: 3y = -4x + 9

16. GRAPH THESE LINES Put the equation in slope intercept form (y = mx + b) and graph. 7.Y = 2x + 4 8.Y = - x -2 9.Y = - + 3 10.Y = x - 4 1 2 3 4 3 11.-x + y = 5 12.y – 3x = -3