parallel_and_perpendicular_lines

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Parallel and Perpendicular Lines:

Parallel and Perpendicular Lines

Quick Review/Preview:

Quick Review/Preview 1. What is the Slope-Intercept Form ? y = mx + b 2. Find the “negative reciprocal” of each fraction

Overview:

Overview Parallel Lines and Perpendicular Lines Property of their slopes Write equations for each type of lines

Parallel Lines:

Parallel Lines Parallel Lines - lines that never intersect What is the slope of the red line? 1/2 What is the slope of the blue line? 1/2 Parallel Lines have the slope! same

Parallel Lines:

Parallel Lines Determine if the lines are parallel 1. 2 x + 6 y = 12 6 y = -2 x + 12 yes

Parallel Lines:

Parallel Lines Determine if the lines are parallel 2. 6 x + 8 y = -24 8 y = -6 x – 24 No

Parallel Lines:

Parallel Lines Determine if the lines are parallel 3. 4 x + 6 y = -2 6 y = -4 x – 2 No

Equations of Parallel Lines:

Equations of Parallel Lines 4. Write an equation for the line that contains (5, 1) and is parallel to m =

Equations of Parallel Lines:

Equations of Parallel Lines 5. Write an equation for the line that contains (2, -6) and is parallel to m = 3 y + 6 = 3( x – 2)

Equations of Parallel Lines:

Equations of Parallel Lines 6. Write an equation for the line that contains (-4, 3) and is parallel to m =

Perpendicular Lines:

Perpendicular Lines Perpendicular Lines – lines that intersect to form right angles What is the slope of the red line? -1/4 What is the slope of the blue line? 4/1 Perpendicular Lines have slope! opposite reciprocal

Perpendicular Lines:

Perpendicular Lines What is the slope of the perpendicular line? 7. -5/2 8. 5/1 = 5 9. 1/2

Equations of Perpendicular Lines:

Equations of Perpendicular Lines 10. Find the equation of the line that contains (0, -2) and is perpendicular to y = 5x + 3 m =

Equations of Perpendicular Lines:

Equations of Perpendicular Lines 11. Find the equation of the line that contains (1, 8) and is perpendicular to m =

Equations of Perpendicular Lines:

Equations of Perpendicular Lines 12. Find the equation of the line that contains (2, -3) and is perpendicular to m = 2 y + 3 = 2( x – 2)

Perpendicular Lines:

Perpendicular Lines 13. Determine if the lines are perpendicular: and No 14. Determine if the lines are perpendicular: and Yes

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