Parallel and Perpendicular Lines

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Presentation transcript:

Parallel and Perpendicular Lines Objective: Find the equation for a line parallel or perpendicular to a given equation and point. Graph parallel and perpendicular lines.

Practice Write the reciprocal of each. -2 ¾ ½ 3 -¼ Reciprocal means you take the flip: ¾  4/3 5  1/5

Parallel Lines If two linear equations have the ______ slope, then they are parallel. Graph the lines. x y y = y =

Perpendicular Lines If two linear equations have __________, _____________ slopes, then they are perpendicular. Graph the lines: x y y = y =

You Try m= m= Give the slope of a line: Parallel to y = Perpendicular to y = m= m=

Writing an Equation for Parallel Write an equation for a line parallel to y = -3x + 2 and passing through the point (-3,2). Parallel lines have the ____ slope; therefore, y= mx + b m =

Write an Equation for Perpendicular y = mx + b Write an equation for a line perpendicular to y = 4x + 2 and passing through the point (-8,4). Perpendicular lines have ________________ slopes; therefore, m = ______.

You Try Find the equation for the line: Parallel to y = 3x – 2 and passing through (6,-1) Perpendicular to y = 4x + 5 and passing through (-8,2) Parallel to y = ½ x and containing (0,-5) Perpendicular to y = 2/3 x –8 and containing (-6,3)

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