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WARM UP

WARM UP. 5 Minutes Remain. a 4. 1 3. MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1. WARM UP. 4. 1 3. a 4. MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1. WARM UP. 3. 1

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WARM UP

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  1. WARM UP 5 Minutes Remain a 4 1 3 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  2. WARM UP 4 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  3. WARM UP 3 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  4. WARM UP 2 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  5. WARM UP 1 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  6. WARM UP 0 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  7. 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 y-intercept slope

  8. 4.7 Graphing Lines Using Slope-Intercept Form EXAMPLE 3Identify 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 - 1line c: y = -½x + 2

  9. 4.7 Graphing Lines Using Slope-Intercept Form EXAMPLE 3Identify 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 ½line c: slope is -½

  10. 4.7 Graphing Lines Using Slope-Intercept Form EXAMPLE 3Identify 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 aand bare parallel because each has a slope of ½. Line cis not parallel to either of the other two lines because it has a slope of -½.

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

  12. 4.7 Graphing Lines Using Slope-Intercept Form Practice: Are the following lines parallel? line a: 3x + 2y = 6 line b: 6x +4y = 6 Sí, paralelo! Tu’ estascertificada! < arquitecto abogado >

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

  14. GRAPH THESE LINES Put the equation in slope intercept form (y = mx + b) and graph. Y = 2x + 4 Y = - x -2 Y = - + 3 Y = x - 4 -x + y = 5 y – 3x = -3 1 2 3 4 4 3

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