what is the slope of each line 2x+3y=6 and -12x+8y=0

give the slope of each line and then determine whether the lines are parallel perpendicular or neither parallel nor perpendicular
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1 Answer

line 1: 2x+3y=6...y=(6-2x)/3=-(2/3)x +2, so slope=-2/3

line 2: -12x+8y=0...y=(12/8)x=1.5x, & slope=1.5

note...1/(2/3)=3/2=1.5

thus slope1=-1/slope2

2 lines R 90 deg apart
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