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**5.6 Parallel and Perpendicular Lines**

Section 5.6

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**Rules and Properties Parallel Lines**

5.6 Parallel and Perpendicular Lines Rules and Properties Parallel Lines If two different lines have the same slope, the lines are parallel. Just remember, Parallel lines have the same slope!

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**Rules and Properties Perpendicular Lines**

5.6 Parallel and Perpendicular Lines Rules and Properties Perpendicular Lines If the slopes of two lines are m and , the lines are perpendicular. m 1 – Perpendicular lines, have opposite reciprocal slopes

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**5.6 Parallel and Perpendicular Lines**

Key Skills Write an equation in slope-intercept form for the line that contains the point (0, 9) and is parallel to the line x – 5y = 4. 1 5 4 y = x – slope-intercept form x – 5y = 4 1 5 m = 1 5 y = x + 9 b = 9

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**5.6 Parallel and Perpendicular Lines**

Key Skills Write an equation in slope-intercept form for the line that contains the point (0, 5) and is parallel to the line 2x + 3y = 7. 2x + 3y = 7 slope-intercept form 2 3 – m = b = 5

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**5.6 Parallel and Perpendicular Lines**

Write an equation in slope-intercept form for the line that contains the point (4, -1) and is parallel to the line y = 2x + 1, using the point-slope form. y – (-1) = 2(x – 4) y = 2x + 1 y + 1 = 2x – 8 m = 2 y – y1 = m(x – x1) y = 2x – 9

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**5.6 Parallel and Perpendicular Lines**

Write an equation in slope-intercept form for the line that contains the point (2, -1) and is parallel to the line y = 2x + 2, using the point-slope form. y – (-1) = 2(x – 2) y = 2x + 2 y + 1 = 2x – 4 m = 2 y – y1 = m(x – x1) y = 2x – 5

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**5.6 Parallel and Perpendicular Lines**

Write an equation in slope-intercept form for the line that contains the point (3, 3) and is parallel to the line y = x – 1, using the point-slope form. 2 3 2 3 2 3 y – 3 = (x – 3) y = x – 1 2 3 2 3 y – 3 = x – 2 m = 2 3 y – y1 = m(x – x1) y = x + 1

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**5.6 Parallel and Perpendicular Lines**

Key Skills Write an equation in slope-intercept form for the line that contains the point (0, 9) and is perpendicular to the line x – 5y = 4. 1 5 4 y = x – x – 5y = 4 slope-intercept form opposite reciprocal of : –5 1 5 m = –5 y = –5x + 9 b = 9

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**5.6 Parallel and Perpendicular Lines**

Key Skills Write an equation in slope-intercept form for the line that contains the point (0, 5) and is perpendicular to the line y = –8x + 4. m = y = –8x + 4 y = x + 5 b = 5 Opposite reciprocal of -8 is

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**5.6 Parallel and Perpendicular Lines**

Write an equation in slope-intercept form for the line that contains the point (-3, 1) and is perpendicular to the line y = –3x + 7. y – y1 = m(x – x1) y = –3x + 7 y – 1 = (x – (-3)) Opposite reciprocal of -3 is y – 1 = x + 1 m = y = x + 2

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**5.6 Parallel and Perpendicular Lines**

Write an equation in slope-intercept form for the line that contains the point (-2, 7) and is perpendicular to the line 2x – 5y = 3. 2x – 5y = 3 y – y1 = m(x – x1) – 5y = –2x + 3 y – 7 = – (x – (-2)) – –5 y – 7 = – (x + 2) y = x – y – 7 = – x – 5 m = m = – y = – x + 2

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**Section 5.6: page 261 – 262 # 18 – 39 (every 3rd), 40 – 55, 58 – 61**

Assignment Section 5.6: page 261 – 262 # 18 – 39 (every 3rd), 40 – 55, 58 – 61

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