Parallel and Perpendicular Lines Objective Find the equation
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. 1. -2 2. ¾ Reciprocal means you take the flip: 3. ½ ¾ 4/3 4. 3 5 1/5 5. -¼
Parallel Lines • If two linear equations have the ______ slope, then they are parallel. Graph the lines. y y= y x
Perpendicular Lines • If two linear equations have _____, _______ slopes, then they are perpendicular. Graph the lines: y yy = x
You Try Give the slope of a line: 1. Parallel to y = 2. Perpendicular to y = 3. Parallel to y = 4. Perpendicular to y = m= m=
Writing an Equation for Parallel Write an equation for a line y= mx + b parallel to y = -3 x + 2 and passing through the point (-3, 2). • Parallel lines have the ____ slope; therefore, m =
Write an Equation for Perpendicular Write an equation for a line perpendicular to y = 4 x + 2 and passing through the point (-8, 4). Perpendicular lines have ________ slopes; therefore, m = ______. y = mx + b
You Try Find the equation for the line: 1. Parallel to y = 3 x – 2 and passing through (6, -1) 2. Perpendicular to y = 4 x + 5 and passing through (-8, 2) 3. Parallel to y = ½ x and containing (0, -5) 4. Perpendicular to y = 2/3 x – 8 and containing (-6, 3)
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