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# Parallel & Perpendicular Lines

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### Parallel & Perpendicular Lines

1. 1. Bell Work <ul><li>Tell if data is linear. If so, write the equation. </li></ul><ul><li>1) 2) 3) </li></ul>x y -4 9 2 -3 5 -9 9 -17 x y -10 -5 -2 17 5 42 11 49 x y 3 1 6 4 9 13 15 49
2. 2. Algebra 1 Parallel & Perpendicular Lines School Day: 17 Objective: 2.02
3. 3. Notes <ul><li>Parallel lines are two lines that never intersect. They have the same slope. </li></ul><ul><li>Perpendicular lines are two lines that intersect to form right angles. They have negative reciprocal slopes. </li></ul><ul><li>(example: m = 2/3 and m = -3/2) </li></ul>
4. 4. Examples <ul><li>What is the negative reciprocal? </li></ul><ul><li>1) 2 2) -1/3 3) 4/5 4) -3/2 </li></ul>
5. 5. Examples <ul><li>y = -2/3x + 7 b) y = -3/2x + 4 </li></ul><ul><li>y = 2/3x – 4 d) y = -2/3x – 2 </li></ul><ul><li>5) Which lines are parallel? </li></ul><ul><li>6) Which lines are perpendicular? </li></ul>
6. 6. Examples <ul><li>Write an equation in slope-intercept form that is parallel to the given line through the given point. </li></ul><ul><li>7) y = ½ x + 1 (4,2) 8) 2x + y = 5 (4,-6) </li></ul>
7. 7. Examples <ul><li>Write an equation in slope-intercept form that is perpendicular to the given line through the given point. </li></ul><ul><li>9) y = 1/6x – 1 (2,4) 10) 5x + 4y = 8 (10,5) </li></ul>
8. 8. <ul><li>11) In Elmsville, Main St. has the equation </li></ul><ul><li>2y = 7x + 6. If First St. is parallel and three streets up, what would be its equation? </li></ul><ul><li>12) In Coal City, Oak St. has the equation </li></ul><ul><li>3x + y = 4. If Elm St. is perpendicular and two streets down, what would be its equation? </li></ul>