document.write( "Question 317695: If the lines whose equations are 3x+y-8=0 and -2x+by+9=0 are perpendicular, what is the value of b?
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Algebra.Com's Answer #227510 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! If the lines whose equations are 3x+y-8=0 and -2x+by+9=0 are perpendicular, what is the value of b? \n" ); document.write( "------------- \n" ); document.write( "Find the slope of 3x+y-8=0 \n" ); document.write( "y = -3x + 8 \n" ); document.write( "slope = -3 \n" ); document.write( "The slope of lines perpendicular is the negative inverse, m = +1/3 \n" ); document.write( "Put -2x+by+9=0 into slope-intercept form (that means solve for y) \n" ); document.write( "by = 2x - 9 \n" ); document.write( "y = (2/b)x - 9/b \n" ); document.write( "2/b is the slope, and it = 1/3 \n" ); document.write( "2/b = 1/3 \n" ); document.write( "b = 6 \n" ); document.write( " \n" ); document.write( " |