5 6 Parallel and Perpendicular Equations Parallel Lines
![5. 6 Parallel and Perpendicular Equations 5. 6 Parallel and Perpendicular Equations](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-1.jpg)
![• Parallel Lines – lines in the same plane that do NOT intersect. • Parallel Lines – lines in the same plane that do NOT intersect.](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-2.jpg)
![• Perpendicular Lines – lines that intersect at right angles. • Perpendicular lines • Perpendicular Lines – lines that intersect at right angles. • Perpendicular lines](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-3.jpg)
![Ex 7 Identify the slope of the following equation and then identify the parallel Ex 7 Identify the slope of the following equation and then identify the parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-4.jpg)
![Ex 8 Identify the slope of the following equation and then identify the parallel Ex 8 Identify the slope of the following equation and then identify the parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-5.jpg)
![Ex 9 Identify the slope of the following equation and then identify the parallel Ex 9 Identify the slope of the following equation and then identify the parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-6.jpg)
![Ex 10 Write the slope-intercept form of a line through (7, -1) and parallel Ex 10 Write the slope-intercept form of a line through (7, -1) and parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-7.jpg)
![Ex 11 Write the slope-intercept form of a line through (4, -1) and perpendicular Ex 11 Write the slope-intercept form of a line through (4, -1) and perpendicular](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-8.jpg)
![Ex 12 Write the slope-intercept form of a line parallel to the graph of Ex 12 Write the slope-intercept form of a line parallel to the graph of](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-9.jpg)
![Ex 13 Write the slope-intercept form of a line perpendicular to the graph of Ex 13 Write the slope-intercept form of a line perpendicular to the graph of](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-10.jpg)
![Ex 14 Write an equation of the line that is parallel to the y-axis Ex 14 Write an equation of the line that is parallel to the y-axis](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-11.jpg)
![Ex 15 Write an equation of the line that is perpendicular to the y-axis Ex 15 Write an equation of the line that is perpendicular to the y-axis](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-12.jpg)
![Determine if the following equations are parallel, perpendicular or neither • Ex 16 Ex Determine if the following equations are parallel, perpendicular or neither • Ex 16 Ex](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-13.jpg)
![Pg 159 #1 -29 Pg 159 #1 -29](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-14.jpg)
- Slides: 14
![5 6 Parallel and Perpendicular Equations 5. 6 Parallel and Perpendicular Equations](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-1.jpg)
5. 6 Parallel and Perpendicular Equations
![Parallel Lines lines in the same plane that do NOT intersect • Parallel Lines – lines in the same plane that do NOT intersect.](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-2.jpg)
• Parallel Lines – lines in the same plane that do NOT intersect. Parallel lines have the SAME slope. E 1 -4 E 2 E 3 0
![Perpendicular Lines lines that intersect at right angles Perpendicular lines • Perpendicular Lines – lines that intersect at right angles. • Perpendicular lines](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-3.jpg)
• Perpendicular Lines – lines that intersect at right angles. • Perpendicular lines have slopes that are opposite reciprocals of each other. (Change the sign and flip the fraction) E 4 7 E 5 E 6 0 • Vertical and horizontal lines are perpendicular to each other.
![Ex 7 Identify the slope of the following equation and then identify the parallel Ex 7 Identify the slope of the following equation and then identify the parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-4.jpg)
Ex 7 Identify the slope of the following equation and then identify the parallel and perpendicular slopes.
![Ex 8 Identify the slope of the following equation and then identify the parallel Ex 8 Identify the slope of the following equation and then identify the parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-5.jpg)
Ex 8 Identify the slope of the following equation and then identify the parallel and perpendicular slope.
![Ex 9 Identify the slope of the following equation and then identify the parallel Ex 9 Identify the slope of the following equation and then identify the parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-6.jpg)
Ex 9 Identify the slope of the following equation and then identify the parallel and perpendicular slope.
![Ex 10 Write the slopeintercept form of a line through 7 1 and parallel Ex 10 Write the slope-intercept form of a line through (7, -1) and parallel](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-7.jpg)
Ex 10 Write the slope-intercept form of a line through (7, -1) and parallel to the graph of
![Ex 11 Write the slopeintercept form of a line through 4 1 and perpendicular Ex 11 Write the slope-intercept form of a line through (4, -1) and perpendicular](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-8.jpg)
Ex 11 Write the slope-intercept form of a line through (4, -1) and perpendicular to the graph of
![Ex 12 Write the slopeintercept form of a line parallel to the graph of Ex 12 Write the slope-intercept form of a line parallel to the graph of](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-9.jpg)
Ex 12 Write the slope-intercept form of a line parallel to the graph of 2 y + 5 x = 2 that passes through (0, 6).
![Ex 13 Write the slopeintercept form of a line perpendicular to the graph of Ex 13 Write the slope-intercept form of a line perpendicular to the graph of](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-10.jpg)
Ex 13 Write the slope-intercept form of a line perpendicular to the graph of 2 y + 5 x = 2 that passes through (0, 6).
![Ex 14 Write an equation of the line that is parallel to the yaxis Ex 14 Write an equation of the line that is parallel to the y-axis](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-11.jpg)
Ex 14 Write an equation of the line that is parallel to the y-axis and passes through the point (-4, 2). What does a line that is parallel to the y-axis look like? (vertical or horizontal) Remember HOY and VUX… What should the equation look like?
![Ex 15 Write an equation of the line that is perpendicular to the yaxis Ex 15 Write an equation of the line that is perpendicular to the y-axis](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-12.jpg)
Ex 15 Write an equation of the line that is perpendicular to the y-axis and passes through the point (-4, 2). What does a line that is perpendicular to the y-axis look like? (vertical or horizontal) Remember HOY and VUX… What should the equation look like?
![Determine if the following equations are parallel perpendicular or neither Ex 16 Ex Determine if the following equations are parallel, perpendicular or neither • Ex 16 Ex](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-13.jpg)
Determine if the following equations are parallel, perpendicular or neither • Ex 16 Ex 17
![Pg 159 1 29 Pg 159 #1 -29](https://slidetodoc.com/presentation_image/122936cba3bc29406724a1335df72606/image-14.jpg)
Pg 159 #1 -29
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