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8-7: Parallel and Perpendicular Lines. Mr. Gallo. Parallel Lines. If two non-vertical lines have the _________ ________, then the lines are ___________. same. slope. parallel. The 2 lines to right, a and b are parallel and have a slope of 2. What is the equation for each line? a: b: .
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8-7: Parallel and Perpendicular Lines Mr. Gallo
Parallel Lines • If two non-vertical lines have the _________ ________, then the lines are ___________. same slope parallel The 2 lines to right, aand b are parallel and have a slope of 2. What is the equation for each line? a: b:
Examples: Write the slope of any line that is parallel to each given line. • 1). 2.) • _________________
Point-Slope Form of an Equation: Where: slope y coordinate of a given point x coordinate of a given point
Write an equation in point-slope form for the line containing and parallel to .
Write an equation in point-slope form for the line containing and parallel to 6.
Write an equation in point-slope form for the line containing and parallel to 6. undefined The original line is vertical so a vertical line with the equationwould be parallel.
Perpendicular Lines • If two non-vertical lines have that are opposite , then the lines are perpendicular.. slopes reciprocals The 2 lines to right, aand b are perpendicular and have slopes of and 2 respectively. What is the equation for each line? a: b:
Examples: Write the slope of any line that is perpendicular to each given line. • 1). 2.) • _________________
Write an equation in point-slope form for the line containing and perpendicular to .
Write an equation in point-slope form for the line containing and perpendicular to 6.
Write an equation in point-slope form for the line containing and perpendicular to 6. undefined The original line is vertical so a horizontal line with the equation would be perpendicular.