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WARM UP 5 Minutes Remain MIXED REVIEW (solve the equation) 1. X + 6 = 14 2. 9 – y = 4 3. 7b = 21 a 4. 4 =3 5. 3x – 12 = 6 1 6. h–2=1 3 WARM UP MIXED REVIEW (solve the equation) 1. X + 6 = 14 2. 9 – y = 4 3. 7b = 21 a =3 4. 4 5. 3x – 12 = 6 6. 1 h – 2 = 1 3 4 WARM UP MIXED REVIEW (solve the equation) 1. X + 6 = 14 2. 9 – y = 4 3. 7b = 21 a =3 4. 4 5. 3x – 12 = 6 6. 1 h – 2 = 1 3 3 WARM UP MIXED REVIEW (solve the equation) 1. X + 6 = 14 2. 9 – y = 4 3. 7b = 21 a =3 4. 4 5. 3x – 12 = 6 6. 1 h – 2 = 1 3 2 WARM UP MIXED REVIEW (solve the equation) 1. X + 6 = 14 2. 9 – y = 4 3. 7b = 21 a =3 4. 4 5. 3x – 12 = 6 6. 1 h – 2 = 1 3 1 WARM UP MIXED REVIEW (solve the equation) 1. X + 6 = 14 2. 9 – y = 4 3. 7b = 21 a =3 4. 4 5. 3x – 12 = 6 6. 1 h – 2 = 1 3 0 4.7 Graphing Lines Using SlopeIntercept 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. slope y-intercept y = mx + b 4.7 Graphing Lines Using SlopeIntercept Form EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4 1 Rewrite each equation in slope-intercept form. Line a: y = ½x + 3 line b: y = ½x - 1 line c: y = -½x + 2 4.7 Graphing Lines Using SlopeIntercept Form EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6 line b: -x + 2y = -2 line 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 4.7 Graphing Lines Using SlopeIntercept Form EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6 line b: -x + 2y = -2 line 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. CHECK √ The graph gives you a visual check. 4.7 Graphing Lines Using SlopeIntercept Form Practice: Are the following lines parallel? line a: 3x + 2y = 6 line b: 6x +4y = 6 Sí, paralelo! Tu’ estas certificada! < arquitecto abogado > PARALLEL LINES Determine whether the graphs of the tow equations are parallel. Graph the lines and explain your answer. 1. 2. 3. 4. 5. 6. Line a: y = -3x + 2 Line a: 2x – 12 = y Line a: y = x + 8 Line a: 2x – 5y = -3 Line a: y + 6x = 8 Line a: 3y – 4x = 3 Line b: y + 3x = -4 Line b: y = 10 + 2x Line b: x – y = -1 Line b: 5x + 2y = 6 Line b: 2y = 12x – 4 Line b: 3y = -4x + 9 GRAPH THESE LINES Put the equation in slope intercept form (y = mx + b) and graph. 7. Y = 2x + 4 11. -x + y = 5 1 8. Y = - x -2 2 3 9. Y = - + 3 4 10. Y = 4 x - 4 3 12. y – 3x = -3