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Parallel Lines Lines are parallel if they have the same slope.

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Presentation on theme: "Parallel Lines Lines are parallel if they have the same slope."— Presentation transcript:

1 Parallel Lines Lines are parallel if they have the same slope.
Parallel lines - lines in the same plane that never intersect Graph the following questions on the same graph  y = -3x +4  6x + 2y = -10 Lines are parallel if they have the same slope.

2 ~slopes of the lines are "negative reciprocals"
Perpendicular Lines Perpendicular lines - lines in the same plane that intersect to form a right angle Graph the following questions on the same graph  3y = 9x + 3 6y +2x = 6 Perpendicular lines and Slope: ~slopes of the lines are "negative reciprocals"  - opposite signs and reciprocals ~ also the product of the slopes is -1

3 Determine if the lines are parallel, perpendicular or 
neither.
1.) 3x - y = -5 and  5y - 15x = 10 2.) 4y = -12x + 16 and y = 3x + 4 3.) 2y - x = 2 and 8x + 4y -2 =0

4 Write an equation of the line that is parallel to the given 
line and passes through the given point.
1.) y = 5x + 2 (3,2)  - has the same slope  - use y = mx +b to find the y-intercept 2.) y= -2x -1 (2,6)

5 - the slope is the opposite of the reciprocal
Write an equation of the line that is perpendicular to the 
given line and passes through the given point. 3.) y = -3x + 9 (3,1)  - the slope is the opposite of the reciprocal  - use y = mx +b to find the y-intercept 4.) y = -3x + 1 and passes through the point (4, 2).


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