document.write( "Question 176903: find the equation of the line that is perpendicular to 3y=4x-12 and passes through the x intercept \n" ); document.write( "

Algebra.Com's Answer #132064 by Fombitz(32388) $\"\"$ $\"About$

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Change the first equation to slope intercept form,
\n" ); document.write( " $\"3y=4x-12\"$
\n" ); document.write( " $\"y=%284%2F3%29x-4\"$
\n" ); document.write( "The x-intercept of this line is,
\n" ); document.write( " $\"%284%2F3%29x-4=0\"$
\n" ); document.write( " $\"%284%2F3%29x=4\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals of each other,
\n" ); document.write( " $\"m%5B1%5Dm%5B2%5D=-1\"$
\n" ); document.write( " $\"%284%2F3%29m%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=-3%2F4\"$
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\n" ); document.write( "Use the point-slope form with slope (-3/4) and point (3,0) to generate the second line,
\n" ); document.write( " $\"y-y%5Bp%5D=m%28x-x%5Bp%5D%29\"$
\n" ); document.write( " $\"y-0=-%283%2F4%29%28x-3%29\"$
\n" ); document.write( " $\"y=-%283%2F4%29x%2B9%2F4\"$
\n" ); document.write( " $\"4y=-3x%2B9\"$
\n" ); document.write( " $\"3x%2B4y=9\"$ in general form
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\n" ); document.write( "Graph the lines to check the solution,\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%284%2F3%29x-4%2C+-%283%2F4%29x%2B9%2F4%29\"$ \n" ); document.write( "

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