Overview Parallel Lines and Perpendicular Lines n Property

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Overview Parallel Lines and Perpendicular Lines n Property of their slopes n Write equations

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

Parallel Lines - lines that never intersect What is the slope of the red

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 same slope!

Parallel Lines Determine if the lines are parallel 1. 2 x + 6 y

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

Parallel Lines Determine if the lines are parallel 2. 6 x + 8 y

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

Parallel Lines Determine if the lines are parallel 3. 4 x + 6 y

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

Equations of Parallel Lines 4. Write an equation for the line that contains (5,

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

Equations of Parallel Lines 5. Write an equation for the line that contains (2,

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)

Perpendicular Lines – lines that intersect to form right angles What is the slope

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 negative reciprocal slope!

Perpendicular Slopes y-axis x-axis What can we say about the intersection of the two

Perpendicular Slopes y-axis x-axis What can we say about the intersection of the two lines? 4 3

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

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

Equations of Perpendicular Lines 10. Find the equation of the line that contains (0,

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

Equations of Perpendicular Lines 11. Find the equation of the line that contains (1,

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

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