Post on 18-Dec-2015
Parallel and Perpendicular Lines
Write the equation of a line that passes through a given point, parallel to a given line.Write the equation of a line that passes through a given point, perpendicular to a given line.
Parallel lines
Lines in the same plane that do not intersect are called parallel lines. Parallel lines have the same slope.
Perpendicular Lines
Lines that intersect at right angles are called perpendicular lines. The slopes of these lines are opposite reciprocals.
Opposite reciprocals????
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From the given equations, determine if the corresponding lines are parallel, perpendicular, or neither.
y = 2x + 2y = 4x - 2
2x + 6y = 14x + 12y =3
15
25
1
xy
xy
neither
perpendicular
parallel
Write the slope intercept form of an equation for the line that passes through (12,3), and is parallel to the graph of
53
4 xy
Write the slope intercept form of an equation for the line that passes through (1, -3), and is perpendicular to the graph of
42
1 xy
Write the slope intercept form of an equation for the line that passes through (-6, 5), and is perpendicular to the graph of x - y= 5