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Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the.

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Presentation on theme: "Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the."— Presentation transcript:

1 Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the three lines?

2 Homework Review P. 326 #8-26E 8. (9, 0) and (0,9) 10. (-7/3, 0) and (0, 7/3) 12. (3, 0) and (0, -21) 14 – 16. Graph 18. (-3, 0) and (0, -3) 20. (-4, 0) and (0, 8) 22. (3, 0) and (0, -9) 24. Vertical 26. Vertical

3 Section 5.6 Parallel and Perpendicular Lines

4 Parallel Lines Parallel Lines are lines in the same plane that never intersect Two non vertical lines that are parallel have the same slope Any two vertical lines are parallel

5 Example A line passes through (12, 5) and is parallel to the graph of y=2/3x -1. What equation represents the line in slope intercept form?

6 Perpendicular Lines Two lines are perpendicular if they intersect to form right angles Two lines are perpendicular if their slopes are opposite reciprocals Any horizontal and vertical lines are perpendicular

7 Example Write an equation in slope intercept form for a line that passes through (2, 4) and is perpendicular to the graph of y=1/3x – 1?

8 Example Determine if the two lines are parallel, perpendicular, or neither.

9 Example Determine if the two lines are parallel, perpendicular, or neither.


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