# Overview Parallel Lines and Perpendicular Lines n Property

- Slides: 12

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 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 = 12 6 y = -2 x + 12 yes

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 = -2 6 y = -4 x – 2 No

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, -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 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 lines? 4 3

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, -2) and is perpendicular to y = 5 x + 3 m=

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

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