WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = 14 2.9 – y = 4 3.7b = 21 4. = 3 5.3x – 12 = 6 6. h – 2 = 1 5 Minutes Remain a4a4 1313.

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Presentation transcript:

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = 1 5 Minutes Remain a4a4 1313

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = a4a4

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = a4a4

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = a4a4

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = a4a4

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = a4a4

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

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

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

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.

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

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 >

PARALLEL LINES Determine whether the graphs of the tow 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 = x 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

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