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3.7 perp. lines in coord plane

3.7 perp. lines in coord plane - Ex Decide whether the...

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3.7 Perpendicular Lines in the Coordinate Plane p. 172
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Postulate 18: Slopes of Lines In a coordinate plane, 2 non vertical lines are iff the product of their slopes is -1. This means, if 2 lines are their slopes are negative reciprocals of each other; such as ½ and -2. Vertical and horizontal lines are to each other.
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Example Line l passes through (0,3) and (3,1). Line m passes through (0,3) and (-4,-3). Are they ? Slope of line l = Slope of line m = l m 3 0 1 3 - - 3 2 - or 3 2 - = 4 0 3 3 - - - - 2 3 or 4 6 = Negative Negative Reciprocals! Reciprocals!
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Unformatted text preview: Ex : Decide whether the lines are ll, ⊥ , or neither. A) y= -1/3x+2 y= 3x-7 ⊥ B) y=1/2x-3 y=1/2x+3/2 ll Ex: decide whether the lines are ⊥ , ll, or neither. C) 4x+5y=2 5x+4y=3 5y=-4x+2 4y=-5x+3 y= -4/5x+2/5 y= -5/4x+3/4 Neither The slopes aren’t negative reciprocals! Ex : Line l has the eqn. y=-2x+1. Line p is ⊥ to l and passes thru the pt (-4,1). Write the eqn. for p . • Slope of l :-2 • Slope of p :1/2 y=mx+b 1=(1/2)(-4)+b 1= -2+b 3=b y=1/2x=3 Assignment Assignment...
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